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 E G V UW 24cm x 18cm 32cm

A.For a radical expression to be in simplest form the following conditions must be 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 fractions. B. How do you simplify the radical expression C.The Product Property of Radicals The square root of a product equals the product of the square roots of the factors. Algebra : Example:

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….

E. Quotient Property of Radicals… The square root of a quotient equals the quotient of the square roots of the numerator and denominator. AlgebraExample: Now, back to the original question Quotient Property of radicals Simplify