The square root of 64 divided by the cube root of 64 isA. 64 B. 2 C.

1.	The square root of 64 divided by the cube root of 64 isA. 64 B. 2 C. \(\frac{1}{2}\)D. 642/3
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 = 2³= \(8\sqrt[3]{64}\) = (2⁶)^1/3 = \(2^2\) = \(4\frac{\sqrt{64}}{\sqrt[3]{64}}\) = \(\frac{8}4\) = 2

The square root of 64 divided by the cube root of 64 isA. 64 B. 2 C. \(\frac{1}{2}\)D. 642/3

Answer»

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

64 = 2⁶ \(\sqrt{64}\)

= \(\sqrt(2^6)\)

=(2⁶) ^1/2

= 2³= \(8\sqrt[3]{64}\)

= (2⁶)^1/3

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

= \(\frac{8}4\) = 2