Radical Expressions.

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Simplify Radical Expressions
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Presentation transcript:

Radical Expressions

Radicals Square root Radicand Coefficient Radical Expression- An expression that contains a square root. Square root Radicand Coefficient

Radicals Identify the coefficient and radicand for the following radicals      

Product property of square roots The square root of the product of ab is equal to the product of each square root.      

Break the radical expression into two parts

Quotient Property of square roots The square root of the quotient a/b is equal to the quotient of each square root.      

Use the quotient property on the following radicals

Perfect squares  

Simplified form of a radical Has no perfect square factors inside the radical Has no fractions inside the radical Has no radicals in the denominator

Simplifying Radicals https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/simplifying-radicals Start at 2:32

Simplify the following radicals  

Adding and Subtracting Radicals Add or subtract the coefficient of like radicals

Adding and Subtracting Radicals Simplify radicals first to find like radicals

Example https://www.khanacademy.org/math/arithmetic/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions

Assignment Finish the Radical Worksheet Write the following problems on the back of the worksheet and simplify.