Question

What is the square root of 6 in simplest radical form?

Answer 1

The square root pf a number can be simplified only if the number is divisible by a perfect square (other than 1).

`sqrt12` can be simplified because `12` is divisible by `4` -- a perfect square.
`sqrt12 = sqrt(4xx3) = sqrt4xxsqrt3=2sqrt3`

`sqrt250` can be simplified because `250` is divisible by `25`
`sqrt250 = sqrt(25xx10)=sqrt25xxsqrt10=5sqrt10`

But `6` is not divisible by a perfect square, so `sqrt6` cannt be simpified further.