Secondary 3 Essentials Clark 1.1 Simplifying Radicals Secondary 3 Essentials Clark

I can simplify radicals Essential standard 1.1a I can simplify radicals

radicals 5 3 =125 so 5 is a cube root of 125 , 3 125 =5 Radicals and powers are inverses- they undo each other. Every power has a root that “undoes” it. Ex: 5 2 =25 so 5 is a square root of 25, 2 25 = 25 =5 5 3 =125 so 5 is a cube root of 125 , 3 125 =5 5 4 =625 so 5 is a fourth root of 625, 4 625 =5

radicals

Problem 1 What are the real square roots of: A.) 27 B.) 32 C.) 54 D.) 72 E.) -49

Problem 2 What are the real cube roots of: A.) 1000 B.) 192 C.) -27 D.) 54 8 E.) -120

Problem 3 What are the real fourth roots of: A.) 1 B.) 16 81 C.) -256 D.) 240

radicals From now on, unless specifically requested, we will only find the positive principal root.

Problem 4 Find the real roots. A.) 3 −8 B.) 4 −1 C.) 12 D.) −2 2

Problem 5 A.) 40 B.) 4 −81 C.) 5 −32 D.) 3 1080

Problem 6 Simplify each radical expression A) 16 𝑥 8 B) 3 𝑎 4 𝑏 7 C) 4 𝑥 8 𝑦 11

Problem 7 Some teachers adjust test scores when a test is difficult. One teacher’s formula for adjusting scores is 𝑨=𝟏𝟎 𝑹 , where A is the adjusted score and R is the raw score. On Test 1 the scores range from 36 to 90. What is the range of the adjusted scores? On Test 2 the scores range from 0 to 100. What is the range of the adjusted scores?

I can simplify radicals Essential standard 1.1a I can simplify radicals