How Do You Solve a Radical Equation?

How Do You Solve a Radical Equation?

Note:

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!

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Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • How Do You Evaluate an Algebraic Expression?How Do You Evaluate an Algebraic Expression?

      How Do You Evaluate an Algebraic Expression?

      Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

      • What's the Order of Operations?What's the Order of Operations?

      What's the Order of Operations?

      Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!

  • Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

      • What Happens When You Square a Square Root?What Happens When You Square a Square Root?

      What Happens When You Square a Square Root?

      Remember that addition and subtraction are opposite operations and multiplication and division are opposite operations? Turns out, squaring and taking the square root are opposite operations too! See why in this tutorial!

  • Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.