Question

The square root of 64 divided by the cube root of 64 is

Options

• 64

• 2

• \[\frac{1}{2}\]

• 64^2/3

Answer 1

We have to find the value of `(2sqrt64)/(3sqrt64)`

So,

`(2sqrt64)/(3sqrt64) = (2(sqrt2 xx 2 xx 2 xx 2 xx 2 xx 2) )/(2(sqrt2 xx 2 xx 2 xx 2 xx 2 xx 2) )`

`= 2^(6xx 1/2)`

`= 2^(6xx 1/3)`

`= 2^(6xx 1/2)/2^(6xx 1/3)`

`(2sqrt64)/(3sqrt64) = 2^3/2^2`

`=2^(3-2)`

`=2^1`

= 2

The value of  `(2sqrt64)/(3sqrt64)` is 2.

Hence the correct choice is b.