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Algebra 2 Name:______________________________ Per. _____ 5-3a Simplifying Radicals State Standard: 2.1.6-8.A Represent and use numbers in equivalent forms (square roots). Objective: At the end of this lesson, you should be able to simplify radicals. Daily Questions: Find the first 15 perfect squares. 12= 22= 32= 42= 52= 62= 72= 82= 92= 102= 112= 122= 132= 142= 152= 1. List the 5 steps to simplifying radicals. 1) _________________________________________________________________ 2) _________________________________________________________________ 3) _________________________________________________________________ 4) _________________________________________________________________ 5) _________________________________________________________________ 2. Simplify the following radicals. Use the progress boxes to check off each step as you complete it. a) √20 Find a perfect square that divides into the given radical evenly. (bigger the better) Separate the radicand into the product of the two numbers Give each of the numbers its own radical sign Simplify the perfect square Can the new root be reduced? b) √72 Separate the fraction into two parts. 5 c) √2 Multiply both parts by the radical in the denominator. d) 3 √8 Simplify the radical on top if possible. Simplify the entire fraction. e) 2√3 ∙ 4√6 2 5 f) √3 ∙ √6 CHECK FOR UNDERSTANDING Fill in the blanks to explain what happens if you chose 4 as your “largest perfect square” when simplifying √48 instead of choosing 16. You may want to work the problem out using 4 as your “largest perfect square” to help organize your thoughts. If you chose 4 as the “largest perfect square” you get _________________ as the final answer. This answer is incorrect because _____________________________________ ____________________________. To arrive at the correct answer, you need to ______ _______________________________________________________________________. Assessment / Homework: Sailing baseball uniform / King Kong pilot (MUST SHOW WORK!!!)