How do you simplify sqrt(68ac^3)/sqrt(27a^2)?

1 Answer
Nathaniel Reed
Sep 21, 2017

(2csqrt(51ac))/(9a)

Explanation:

(sqrt(68ac^3))/(sqrt(27a^2)) can simplify to (2csqrt(17ac))/(3asqrt(3))
Then, you multiply fraction by 1 to not change the value of the expression.
You multiply by sqrt(3)/sqrt(3) which is equal to 1.
This is because you need to get rid of the root in the denominator. sqrt(3)*sqrt(3)=3

(2csqrt(17ac))/(3asqrt(3))*(sqrt(3)/sqrt(3))=(2csqrt(51ac))/(3asqrt(9))=(2csqrt(51ac))/(9a)

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