Question

how do you solve?
square root of 3 divided by square root of 5 ?

Answer 1

You don't solve these, but you do put them into a "standard form". People do not like square roots in the denominator, so you should "get rid of it" by multiplying by sqrt(5)/sqrt(5)
\[ \frac{\sqrt{3}}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}= \frac{\sqrt{15}}{5} \]

Answer 2

thank you , so you canot simplify it further?

Answer 3

If 15 could be factored into a perfect square you could do more, but 3*5 is all you can do with 15, and neither is a square.
if you had sqrt(25) you could rewrite it as sqrt(5*5) = 5
if you had sqrt(18) you could rewrite it as sqrt(3*3*2)= 3sqrt(2)
but 15? forget about it!