Question

Express sqrt-255 in its simplest terms.

Answer 1

the awnser should be 15i

Answer 2

Cannot be simplified further

Explanation:

1,3,5,15,17,51,85,255 are the factors of 255.

We find that no factor is repeated and hence square root of 255 cannot be simplified because 255 has no repeated factor except 1.

If repeated factor is there like square root of 8, we can remove 4, a perfect square and write

2 sqrt 2

But for sq root of 255 we do not have any perfect square that can be removed.

Hence answer is

`√(255)` only

since this expression cannot be simplified further