How do you simplify the square root of 26/32

Question

I have to simplify the square root of 26/32. I was wondering if you are able to divide both the numerator and denominator (as in, both the surds)? If I did that I would get sqr root.13/4. Is this right?

Answer 1

√(26/32) = √26 / √32 = √(2·13) / √(2⁵) = √2 √13 / √(2⁴2) = √2 √13 / (4√2) = (√13) / 4

It is also correct to simplify the numerator and the denominator.

26/32 = (2 x 13) / (2 x 16) = 13/16

√(26/32) = √(13/16) = (√13) / 4