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

1 Answer
Apr 21, 2018

Answer:

#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#.