How do you simplify 6√2 divided by √3?

1 Answer
Stefan V.
Sep 6, 2015

#(6sqrt(2))/sqrt(3) = 2sqrt(6)#

Explanation:

Start by rationalizing the denominator. That can be done by multiplying the fraction by #1 = sqrt(3)/sqrt(3)#.

#(6sqrt(2))/sqrt(3) * sqrt(3)/sqrt(3) = (6 * sqrt(2) * sqrt(3))/(sqrt(3) * sqrt(3))#

#= (6 * sqrt(2 * 3))/sqrt(3 * 3)#

#= (color(red)(cancel(color(black)(6)))2sqrt(6))/color(red)(cancel(color(black)(3))) = color(green)(2sqrt(6))#

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