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can u show me a step by step for this . How to simplify this radical. For Algebra II

(3/4) ^ (1/3)

2007-11-19 17:56:12 · 4 answers · asked by brobo8 1 in Science & Mathematics Mathematics

4 answers

This is the cube root of 3/4. But you want the denominator to be a perfect cube, so multiply numerator and denominator by 2:

³√(6/8)
= ³√6 / ³√8
= ³√6 / 2

That's as far as you can go:
³√6
-----
.. 2

2007-11-19 18:04:18 · answer #1 · answered by Puzzling 7 · 0 0

(3/4)^(1/3) = 3^(1/3)/4^(1/3)
Multiply both by 4^(2/3)
= (3^(1/3)x 4^(2/3)/4

2007-11-19 18:06:20 · answer #2 · answered by Anonymous · 0 0

is equal to the cube root of 3/4.. hehe

2007-11-19 18:02:10 · answer #3 · answered by crazz87 1 · 0 0

(3/4)^(1/3) =(3*4^2/4^3) ^(1/3) =48^(1/3) /4

2007-11-19 18:01:58 · answer #4 · answered by mbdwy 5 · 0 0

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