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Question
The square root of 64 divided by the cube root of 64 is
Options
64
2
\[\frac{1}{2}\]
642/3
Solution
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.
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