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Unformatted text preview: root of a natural number that is not a perfect square, multiply the numerator and the denominator by the smallest number that produces the square root of a perfect square in the denominator. Let’s take a look two more examples: Examples 7 6 7 18 Rationalize the denominator: Examples 2 3 2 5 + Rationalize the denominator: Other Kinds of Roots Examples 3 3 4 8 8 16Simplify: The Product and Quotient Rules for nth Roots Example 4 5 5 6 81 4 40 × Simplify: Example 3 3 3 64 27 250 2 16Simplify: Rational Exponents Example 3 4 3 5 5 3 1 2 81 32 48 3 x x Simplify: Example 5 4 1 5 3 2 4 2 81 x x x ÷ ÷ Simplify: Notice that the index reduces on this last problem. (a) (b) (c) (d) 3 81 4 x x Simplify: 9 2 9 2 9 2 9 2 x x x x x x (a) (b) (c) (d) 2 3 1 4 2 7 3 x x ÷ ÷ Simplify: 5 4 5 4 7 4 7 4 21 63 21 63 x x x x...
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 Fall '11
 jayjohn
 Square Roots, Nth root

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