Simplify square root of (27a^2)/(3y^6)

Math
27a23y6
Reduce the expression 27a23y6 by cancelling the common factors.
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Factor 3 out of 27a2.
3(9a2)3y6
Factor 3 out of 3y6.
3(9a2)3(y6)
Cancel the common factor.
3(9a2)3y6
Rewrite the expression.
9a2y6
9a2y6
Rewrite 9a2 as (3a)2.
(3a)2y6
Rewrite y6 as (y3)2.
(3a)2(y3)2
Rewrite (3a)2(y3)2 as (3ay3)2.
(3ay3)2
Pull terms out from under the radical, assuming positive real numbers.
3ay3
Simplify square root of (27a^2)/(3y^6)

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