Radical Expressions and Equations


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    • How Do You Find the Midpoint Between Two Coordinates?How Do You Find the Midpoint Between Two Coordinates?

    How Do You Find the Midpoint Between Two Coordinates?

    The midpoint of a line segment is the point midway between the endpoints of the line segment. This tutorial shows you how to take two endpoints and figure out the midpoint of the line segment. Check it out!

    • How Do You Find the Midpoint of Two Points on a Map If You Have the Coordinates?How Do You Find the Midpoint of Two Points on a Map If You Have the Coordinates?

    How Do You Find the Midpoint of Two Points on a Map If You Have the Coordinates?

    When you're looking at a map, you can find the point midway between two locations by calculating the midpoint. This tutorial takes you through the process of finding the point midway between two cities.

    • What's the Midpoint Formula?What's the Midpoint Formula?

    What's the Midpoint Formula?

    Want to find the point midway between two locations? Then you're looking for the midpoint! The midpoint of a line segment is the point located midway between the endpoints of the line segment. This tutorial tells you about the midpoint of a line segment. Take a look!

    • What's the Midpoint of Two Points on a Number Line?What's the Midpoint of Two Points on a Number Line?

    What's the Midpoint of Two Points on a Number Line?

    If you have two points on a number line, the midpoint is the point that is located directly midway between the two points. Take a look at this tutorial and learn about the midpoint of two points on a number line!

    • What are the Endpoints of a Line Segment?What are the Endpoints of a Line Segment?

    What are the Endpoints of a Line Segment?

    A math term can really tell you a lot about the thing it's describing. Take the term 'endpoints'. The endpoints of a line segment are just the 'points' located at the 'ends' of the line segment! That's an informative name! Watch this tutorial to learn about endpoints of a line segment.

    • How Do You Find the Distance Between Two Points?How Do You Find the Distance Between Two Points?

    How Do You Find the Distance Between Two Points?

    Trying to find the distance between two points? Use the distance formula! Want to see how it's done? Check out this tutorial!

    • How Do You Simplify a Radical Using the Product Property?How Do You Simplify a Radical Using the Product Property?

    How Do You Simplify a Radical Using the Product Property?

    Want to simplify a radical whose radicand is not a perfect square? No sweat! Check out this tutorial and see how to write that radicand as its prime factorization. Then, rewrite any duplicate factors using exponents, break up the radical using the product property of square roots, and simplify. To see this process step-by-step, watch this tutorial!

    • How Do You Multiply Two Radicals?How Do You Multiply Two Radicals?

    How Do You Multiply Two Radicals?

    To multiply radicals, you can use the product property of square roots to multiply the contents of each radical together. Then, it's just a matter of simplifying! In this tutorial, you'll see how to multiply two radicals together and then simplify their product. Check it out!

    • How Do You Find the Length of a Leg of a Right Triangle?How Do You Find the Length of a Leg of a Right Triangle?

    How Do You Find the Length of a Leg of a Right Triangle?

    Finding the missing length of a side of a right triangle? If you have the other two side lengths, you can use the Pythagorean theorem to solve! Check out this tutorial and see how to use this really helpful theorem to find that missing side measurement!

    • How Do You Determine if a Triangle Is a Right Triangle if You Know its Sides?How Do You Determine if a Triangle Is a Right Triangle if You Know its Sides?

    How Do You Determine if a Triangle Is a Right Triangle if You Know its Sides?

    Think your triangle is a right triangle? Want to be sure? If you have the length of each side, apply the Pythagorean theorem to the triangle. If you get a true statement when you simplify, then you do indeed have a right triangle! If you get a false statement, then you can be sure that your triangle is not a right triangle. Check out this tutorial and learn how use the Pythagorean theorem to see if a triangle is a right triangle!

    • How Do You Rationalize a Denominator?How Do You Rationalize a Denominator?

    How Do You Rationalize a Denominator?

    When you have a fraction with a radical in the denominator, you need to get that radical out of the denominator in order to simplify that fraction. That means you need to rationalize the denominator! In this tutorial, see how to rationalize the denominator in order to simplify a fraction.

    • How Do You Add Radicals with Like Radicands?How Do You Add Radicals with Like Radicands?

    How Do You Add Radicals with Like Radicands?

    Adding radicals isn't too difficult. As long as they have like radicands, you can just treat them as if they were variables and combine like ones together! This tutorial takes you through the steps of adding radicals with like radicands. Take a look!

    • How Do You Subtract Radicals with Like Radicands?How Do You Subtract Radicals with Like Radicands?

    How Do You Subtract Radicals with Like Radicands?

    Subtracting radicals can be easier than you may think! As long as they have like radicands, you can just treat them as if they were variables and combine like ones together! This tutorial takes you through the steps of subracting radicals with like radicands. Check it out!

    • How Do You Subtract Radicals with Unlike Radicands?How Do You Subtract Radicals with Unlike Radicands?

    How Do You Subtract Radicals with Unlike Radicands?

    Subtracting radicals isn't too hard. Just treat them as if they were variables and combine like ones together! Don't see like radicals? You may need to simplify the radicals so you can identify similar ones. This tutorial takes you through the steps of subtracting radicals that must first be simplified. Take a look!

    • How Do You Solve a Radical Equation?How Do You Solve a Radical Equation?

    How Do You Solve a Radical Equation?

    Want some practice solving radical equations? Check out this tutorial! You'll see the steps you need to take in order to solve a radical equation and check your answer!

    • How Do You Solve a Radical Equation with a Binomial in the Radicand?How Do You Solve a Radical Equation with a Binomial in the Radicand?

    How Do You Solve a Radical Equation with a Binomial in the Radicand?

    Want some practice solving radical equations? Check out this tutorial! You'll see the steps you need to take in order to solve a radical equation and check your answer!

    • How Do You Graph a Square Root Function Using a Table?How Do You Graph a Square Root Function Using a Table?

    How Do You Graph a Square Root Function Using a Table?

    Making a table of values is a useful way to graph a square root function. Just remember to choose x-values for which the function is defined! Watch the tutorial to find out more.

    • What Does the Constant 'k' Do in the Function f(x)=√(x)+k?What Does the Constant 'k' Do in the Function f(x)=√(x)+k?

    What Does the Constant 'k' Do in the Function f(x)=√(x)+k?

    When you're learning about translating square root functions, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate a square root function vertically.

    • What Does the Constant 'h' Do in the Function f(x)=√(x-h)?What Does the Constant 'h' Do in the Function f(x)=√(x-h)?

    What Does the Constant 'h' Do in the Function f(x)=√(x-h)?

    When you're learning about translating square root functions, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate a square root function horizontally.

    • What is the Product Property of Square Roots?What is the Product Property of Square Roots?

    What is the Product Property of Square Roots?

    The product property of square roots is really helpful when you're simplifying radicals. This property lets you take a square root of a product of numbers and break up the radical into the product of separate square roots. Check out this tutorial and learn about the product property of square roots!

    • What is the Quotient Property of Square Roots?What is the Quotient Property of Square Roots?

    What is the Quotient Property of Square Roots?

    The quotient property of square roots if very useful when you're trying to take the square root of a fraction. This property allows you to split the square root between the numerator and denominator of the fraction. This tutorial introduces you to the quotient property of square roots. Take a look!

    • What are the Legs and Hypotenuse of a Right Triangle?What are the Legs and Hypotenuse of a Right Triangle?

    What are the Legs and Hypotenuse of a Right Triangle?

    Looking for some terminology used with right triangles? Then this tutorial was made for you! In this tutorial, you'll be introduced to the names for the different parts of a right triangle. Check it out!

    • What is the Converse of the Pythagorean Theorem?What is the Converse of the Pythagorean Theorem?

    What is the Converse of the Pythagorean Theorem?

    The converse of the Pythagorean Theorem is like the the Pythagorean Theorem in reverse. You can use it both forward and backward! Not all theorems work this way, but the Pythagorean Theorem does! This tutorial will show you how to use both the Pythagorean Theorem and its converse.

    • What Is the Distance Formula?What Is the Distance Formula?

    What Is the Distance Formula?

    If you need to find the distance between to points on the coordinate, you'll probably use the distance formula to get your answer. This tutorial introduces you to the distance formula and even shows you how to find it!

    • What is the Pythagorean Theorem?What is the Pythagorean Theorem?

    What is the Pythagorean Theorem?

    The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle!

    • How Was the Distance Formula Derived?How Was the Distance Formula Derived?

    How Was the Distance Formula Derived?

    Trying to find the distance between two points on the coordinate plane? Use the distance formula! Can't remember it? Not a problem if you've watched this tutorial! This tutorial shows you how to derive the distance formula. You even use the Pythagorean theorem to find it! Take a look!

    • What is the Sine Ratio?What is the Sine Ratio?

    What is the Sine Ratio?

    The sine ratio is a handy ratio when you're dealing with right triangles! In this tutorial, you'll learn what the sine ratio is and how to use it to find angle measurements in a right triangle.

    • What is the Tangent Ratio?What is the Tangent Ratio?

    What is the Tangent Ratio?

    There are several different ratios you can make from the sides of a right triangle. One of them is the tangent ratio. Watch this tutorial to add the tangent ratio to your right triangle tool box!

    • How Do You Find the Sine of an Angle in a Right Triangle?How Do You Find the Sine of an Angle in a Right Triangle?

    How Do You Find the Sine of an Angle in a Right Triangle?

    A trigonometric ratio is a ratio between two sides of a right triangle. The sine ratio is just one of these ratios. In this tutorial, you'll see how to find the sine of a particular angle in a right triangle. Take a look!

    • How Do You Find the Cosine of an Angle in a Right Triangle?How Do You Find the Cosine of an Angle in a Right Triangle?

    How Do You Find the Cosine of an Angle in a Right Triangle?

    A trigonometric ratio is a ratio between two sides of a right triangle. The cosine ratio is just one of these ratios. In this tutorial, you'll see how to find the cosine of a particular angle in a right triangle. Take a look!

    • How Do You Find the Tangent of an Angle in a Right Triangle?How Do You Find the Tangent of an Angle in a Right Triangle?

    How Do You Find the Tangent of an Angle in a Right Triangle?

    A trigonometric ratio is a ratio between two sides of a right triangle. The tangent ratio is just one of these ratios. In this tutorial, you'll see how to find the tangent of a particular angle in a right triangle. Take a look!

    • How Do You Find a Missing Side of a Right Triangle Using Sine?How Do You Find a Missing Side of a Right Triangle Using Sine?

    How Do You Find a Missing Side of a Right Triangle Using Sine?

    The sine ratio is not only used to identify a ratio between two sides of a right triangle, but it can also be used to find a missing side length. This tutorial shows you how to use the sine ratio to find that missing measurement!

    • How Do You Find a Missing Side of a Right Triangle Using Cosine?How Do You Find a Missing Side of a Right Triangle Using Cosine?

    How Do You Find a Missing Side of a Right Triangle Using Cosine?

    The cosine ratio is not only used to identify a ratio between two sides of a right triangle, but it can also be used to find a missing side length. This tutorial shows you how to use the cosine ratio to find that missing measurement!

    • How Do You Find a Missing Side of a Right Triangle Using Tangent?How Do You Find a Missing Side of a Right Triangle Using Tangent?

    How Do You Find a Missing Side of a Right Triangle Using Tangent?

    The tangent ratio is not only used to identify a ratio between two sides of a right triangle, but it can also be used to find a missing side length. This tutorial shows you how to use the tangent ratio to find that missing measurement!

    • How Do You Solve a Problem Using an Angle of Elevation?How Do You Solve a Problem Using an Angle of Elevation?

    How Do You Solve a Problem Using an Angle of Elevation?

    This tutorial provides a great real world application of math. You'll see how to use the tangent ratio to find the height of a hill. Take a look!