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Radicals and Radical Functions

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
reason
3√8 index of 3 square root of 8   2   2*2*2=8  
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√47 square root of 47 use approximate   6.856   6.856 * 6.856=approximate 47  
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3√-1/8 index of 3 square root of fraction -1/8   -1/2   -1/2 * -1/2 * -1/2 = -1/8  
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√(-2)² square root of -2 to the 2nd power   Ι2Ι   absolute value 2 square root of 4 is 2  
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√(x-4)² square root of (x-4) to second power   Ιx-4Ι   absolute value x-4  
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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  
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-√4 negative square root of 4   -2   -2 * -2 = 4  
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3√-729 index of 3 square root of negative 729   -9   -9 * -9 * -9= 729  
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√-16 square root of negative 16   not a real number   no real number is the √-16  
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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  
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√x⁶/81y square root of x⁶ over 81y   x³/9y   (x³)² = x⁶ 9 * 9 = 81  
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-4√1296 negative index of 4 square root of 1296   -6   -6 * -6 * -6 * -6 = 1296  
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3√(-8)³ index of 3 sqaure root of (-8)³   -8   index of 3 √-8 cubed is -8  
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√529 square root of 529   23   23x23=529  
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Created by: jenmiller500
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