The product of the square root of `x` with the cube root of `x` is (a) cube root of the square root of `x` (b) sixth root of the fifth power of `x` (c) fifth root of the sixth power of `x\ \ ` (d) sixth root of `x`

Explanation

Given:
`sqrtx\xx\root(3)x`
Solution:
`=x^(1/2)\xx\x^(1/3)`
`=x^(1/2+1/3)`
`=x^((3+2)/6)`
`=x^(5/6)`
`therefore` The product of the square root of `x` with the cube root of `x` is `x^(5/6)`