What is the square root of 24/ the square root of 6?

1 Answer
Apr 21, 2018

sqrt(24)/sqrt(6) = pm 2

Explanation:

Square roots are easier to deal with when you remember a few rules. First, sqrt(x) * sqrt(y) = sqrt(x*y). Second, sqrt(x)/sqrt(y) = sqrt(x / y).

This problem makes use of the latter rule. We have sqrt(24)/sqrt(6). This equals sqrt(24/6) = sqrt(4) = pm2. We must add the plus-or-minus sign because 2^2 = 4 and (-2)^2 = 4.