Square root of 60 divided by square root of 5

Answer: 2√3

Step-by-step explanation: To divide √60 by √5, we simply divide the numbers that are inside the radicals.

Since the quotient of 60 divided by 5 is 12,

the square root of 60 divided by the square root of 5 is √12.

However, we can simplify the square root of 12.

The √12 breaks down into 4 · 3 and 4 breaks down into 2 · 2.

The 2's match up, so a 2 comes outside of the radical.

Since the 3 doesn't pair up, it stays inside.

So our answer is 2√3.