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!
Remember using FOIL to multiply binomials when you studied quadratics? It's back, this time with radicals. Combine what you know about multiplying radical expressions with FOIL and you can handle these products!
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!
To find the cube root of a number, start by breaking that number into its prime factorization. Rewrite those factors using exponents and break up the radicals using the Product Property of Radicals. Simplify and you're done! Watch this tutorial to see the entire process step-by-step.
Simplifying cube root expressions that contain variables is pretty similar to dealing with numerical cube root expressions. Use the laws of exponents to rewrite variables in the radicand so that they can be simplified. Check out the video to learn how!
Sometimes when you simplify radical expressions there are leftovers. Follow the tutorial to see how to handle them.
You can rewrite an expression with a rational exponent a few different ways. This can come in handy when your solving a problem involving rational exponents. This tutorial shows you how it works! You can even practice with examples!
The Properties of Rational Exponents follow from the definition of exponent. They are the same properties you worked with previously, when the exponents were integers. Now you can apply these properties and convert between exponential and radical forms. See the video to learn more.