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Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.

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A radical expression is an expression that contains a radical, such as a square root, cube root, or other root. A radical expression containing a square root is in simplest form if the following conditions are true: – No perfect square factors other than 1 are in the radicand. – No fractions are in the radicand. – No radicals appear in the denominator of a fraction. – No negative numbers inside the square root.

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Product Property of Radicals: The square root of a product equals the product of the square roots of the factors. i.e. Ex.1: Simplify the expression. a. b.

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Ex.2: Simplify the expression. a. b. Ex.3: Simplify the expression. a. b. c. d.

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Ex.4: Simplify the expression. a. b. c. d. e. f.

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R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

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