Question

How do you simplify the square root of 275?

Answer 1

`275 = 5^2*11`. Hence `sqrt(275) = 5sqrt(11).`

Explanation:

If `a, b >= 0` then `sqrt(ab) = sqrt(a)sqrt(b)`

So

`sqrt(275) = sqrt(5^2*11) = sqrt(5^2)sqrt(11) = 5sqrt(11)`