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Geometry – Unit 1 Review Simplify Radicals Name: _____________________________! Review Date: ___________ Pd: ____ When we find the square root of a number that is not a perfect square, we write the number in simplified radical form. A radical is in simplified radical form if there is no perfect square factor under the radical. ab a b Recall: Example Problem: Therefore, 588 ? 588 588 4 49 3 588 2 7 3 588 14 3 OR 3 3 Simplify: 49 12 4 2 2 7 1) 75 2) 8 3) 32 4) 125 5) 80 6) 108 7) 20 8) 72 9) 150 2 7 7 7 Every pair of prime factors is a perfect square. 7 3 14 3 10) 28 11) 45 12) 600 Reverse the process. Un-simplify the simplified radical form. Write as one number under the radicand. 13) 2 11 14) 5 11 15) 4 6 16) Susan was asked to simplify 1200 . Her final answer was 10 12 . Was she correct? Why or why not? SNRPDP Unit 1: Foundations of Geometry NVACS – Revised 2015-2016 Page 1 of 1