Simplify square root 15 divided by square root 3

Question

asked Oct 15, 2023 175k views

2 Answers

Marco Romano · Answer 1 · 2023-10-17T09:15:24+0000

We are given the following to simplify:

√(15) ÷
√(3)

First, we need to apply the radical rule,
$(√(a) )/(√(b) ) = (√(a) )/(√(b) ) , a\geq 0,b\geq 0$

This being said, we need to write our expression using the rule, writing it as follows:

(√(15) )/(√(3) ) = (√(15) )/(√(3) )

Then, we divide the numbers 15 and 3.

(15)/(3) = 5

Hence, our solution would be
√(5) .

Hope this helps!