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Module 11

Radicals and Radical Functions

QuestionAnswerreason
3√8 index of 3 square root of 8 2 2*2*2=8
√47 square root of 47 use approximate 6.856 6.856 * 6.856=approximate 47
3√-1/8 index of 3 square root of fraction -1/8 -1/2 -1/2 * -1/2 * -1/2 = -1/8
√(-2)² square root of -2 to the 2nd power Ι2Ι absolute value 2 square root of 4 is 2
√(x-4)² square root of (x-4) to second power Ιx-4Ι absolute value x-4
5√-32x³°y²° index of square root of -32 x to the power of 30 and x to the power of 20 -2x⁶y⁴ -2 * -2 * -2 * -2 *-2 = -32 x³°= 30 divided by 5 is 6 y²°= 20 divided by 5 is 4
-√4 negative square root of 4 -2 -2 * -2 = 4
3√-729 index of 3 square root of negative 729 -9 -9 * -9 * -9= 729
√-16 square root of negative 16 not a real number no real number is the √-16
f(x)= 3√x-14 find for f(13) f(x)= index 3 square root of x -14 3√-1 3√13-14 = -1 3√-1
√x⁶/81y square root of x⁶ over 81y x³/9y (x³)² = x⁶ 9 * 9 = 81
-4√1296 negative index of 4 square root of 1296 -6 -6 * -6 * -6 * -6 = 1296
3√(-8)³ index of 3 sqaure root of (-8)³ -8 index of 3 √-8 cubed is -8
√529 square root of 529 23 23x23=529
Created by: jenmiller500
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