# 13.2 Simplifying Radicals - Kyrene School District 13.2 Simplifying Radicals Teacher: If you add 20, 567, to 23, 678 and then divide by 97, what do you get? Jim: The wrong answer. 13.2 Simplifying Radicals Definitions: Radicands: Expressions under

other than 1 8 = 22 No radicands contain fractions. 3 = 13 4 No radicals appear in the denominator of a fraction. 1=1 4 2

2 13.2 Simplifying Radicals Properties of Radicals: The square root of a product equals the product of the square roots of the factors. ab = a x b The square root of a quotient equals the quotient

of the square roots of the numerator and denominator. a/b = a b 13.2 Simplifying Radicals http://my.hrw.com/math06_07/nsmedia/hom ework_help/alg1/alg1_ch11_06_homeworkh elp.html (Professor Burger) Choose example 2, 3, and 4.

13.2 Simplifying Radicals Example 1 50 = 25 x 2 = 25 x 2 = 52 3/4 = 3 4 = 3 2

13.2 Simplifying Radicals If the radical in a denominator is not the square root of a perfect square, then a different strategy is required. 13.2 Simplifying Radicals

Example 2 1/ 2 To simplify this expression, multiply the numerator and denominator by 2. (It is equivalent to multiplying the original fraction by 1) 13.2 Simplifying Radicals

1/ 2 = 1 2 2 2 = __2 . 2 2 = 2 2 13.2 Simplifying Radicals Example 3 Finding the area of a rectangle whose width is 2 inches and whose length is 30 inches. Give the result in exact form

and in decimal form. bh = A 2 inches 30 2 30 inches 30(2) 60 13.2 Simplifying Radicals The simplified form = 60 = 4 15

= 4 15 = 2 15 square inches Decimal approximation = 60 7.75 square inches. Assignment: 13-2 Page 652

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