Simplify ( square root of 28z^5)/( square root of 63z)

Math
28z563z
Combine 28z5 and 63z into a single radical.
28z563z
Reduce the expression 28z563z by cancelling the common factors.
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Factor 7 out of 28z5.
7(4z5)63z
Factor 7 out of 63z.
7(4z5)7(9z)
Cancel the common factor.
7(4z5)7(9z)
Rewrite the expression.
4z59z
4z59z
Reduce the expression 4z59z by cancelling the common factors.
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Factor z out of 4z5.
z(4z4)9z
Factor z out of 9z.
z(4z4)z⋅9
Cancel the common factor.
z(4z4)z⋅9
Rewrite the expression.
4z49
4z49
Rewrite 4z4 as (2z2)2.
(2z2)29
Rewrite 9 as 32.
(2z2)232
Rewrite (2z2)232 as (2z23)2.
(2z23)2
Pull terms out from under the radical, assuming positive real numbers.
2z23
Simplify ( square root of 28z^5)/( square root of 63z)

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