How do you simplify (8sqrt3)/sqrt6?

1 Answer
Mar 22, 2018

4sqrt2

Explanation:

First we need to rationalize the denominator (no radicals can be in a denominator)

(8sqrt3)/sqrt6 rarr Multiply the numerator and denominator by sqrt6 to get rid of the radical

(8sqrt18)/6

(8sqrt9*sqrt2)/6 rarr 9 is a perfect square

(8*3*sqrt2)/6

(24sqrt2)/6 rarr 24 is divisible by 6

4sqrt2