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Square day 1.notebook May 09, 2017 Square Roots and Perfect Square Roots To find the square root of a number, you find the value that, when multiplied by itself, is equal to the given number radical √ x radicand How many square roots does the number 9 have? Think what numbers squared = 9 . . 3 3 = 9 3 3 = 9 Every positive number has two square roots: one is positive, one is negative. The positive root is called the principal square root! The negative root is called the negative square root! _ _ Both roots are written: + Find the two square roots of 64. Find the two square roots of 169. Find the two square roots of 1764. What is the length? Square day 1.notebook May 09, 2017 Let's List our Perfect Squares up to 20 ! Root (x) x2 1 2 3 4 5 Root (x) x2 6 7 8 9 10 Let's List our Perfect Squares up to 20 ! Root (x) 11 12 13 14 15 x2 Root (x) 16 17 18 19 20 x2 Square day 1.notebook May 09, 2017 Finding square roots of fractions 1 = 9 1 = 9 Take the square root of the numerator. Take the square root of the denominator. 9 16 1 4 - 49 100 ± 144 169 25 81 - 225 900 Square day 1.notebook May 09, 2017 Evaluate each expression 4 81 + 7 ( ___ 64 ____ 4 36 144 ) 225 ___ 9 Solving Equations Using Square Roots Remember: 2 . x x = x x2 = 36 x2 = 121 x2 = 49 400 The area of a crop circle is 45,216 square feet. What is the radius of the crop circle? Use 3.14 for . Square day 1.notebook May 09, 2017 2. 10 Square day 1.notebook May 09, 2017