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in Exponents by (28.9k points)
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The square root of 64 divided by the cube root of 64 is

A. 64 

B. 2 

C. \(\frac{1}{2}\)

D. 642/3

1 Answer

+1 vote
by (30.2k points)
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Best answer

As 64 can be written as 64 = 2×2×2×2×2×2

so

64 = 26 \(\sqrt{64}\)

\(\sqrt(2^6)\) 

=(26) 1/2

= 2\(8\sqrt[3]{64}\)

= (26)1/3 

\(2^2\) = \(4\frac{\sqrt{64}}{\sqrt[3]{64}}\)

\(\frac{8}4\) = 2

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