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Simplify Radical Expressions Warm-up:

Simplify Radical Expressions Warm-up: Recall how to estimate the square root of a number that is not a perfect square. 1.) The is between the perfect square of _______ and _______. The answer is between _______ and ________. The nearest whole number is ____.

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Simplify Radical Expressions Warm-up:

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  1. Simplify Radical Expressions Warm-up: Recall how to estimate the square root of a number that is not a perfect square. 1.) The is between the perfect square of _______ and _______. The answer is between _______ and ________. The nearest whole number is ____. 2.) The is between the perfect square of _______ and _______. The answer is between _______ and ________. The nearest whole number is ____. Similar Figures Question: Given , find EG F V 24cm 18cm E U W G x 32cm

  2. For a radical expression to be in simplest form the following conditions must be true. • No perfect square factors other than 1are in the radicand • No fractions are in the radicand. • No radicals appear in the denominator of a fractions. • B. How do you simplify the radical expression • The Product Property of Radicals • The square root of a product equals the product of the square roots of the factors. • Algebra : Example:

  3. D. Now, back to simplifying the • Question: Are you able to think of two factors one of which is a perfect square. • Factor using perfect square factor • Product Property of radicals • Simplify • Examples Continued….

  4. How could you simplify • E. Quotient Property of Radicals… • The square root of a quotient equals the quotient of the square roots of the • numerator and denominator. • Algebra Example: • Now , back to the original question • Quotient Property of radicals • Simplify

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