Simplify ( square root of 7z^5)/( square root of 63z^3)

Math
7z563z3
Combine 7z5 and 63z3 into a single radical.
7z563z3
Reduce the expression 7z563z3 by cancelling the common factors.
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Factor 7 out of 7z5.
7(z5)63z3
Factor 7 out of 63z3.
7(z5)7(9z3)
Cancel the common factor.
7z57(9z3)
Rewrite the expression.
z59z3
z59z3
Reduce the expression z59z3 by cancelling the common factors.
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Factor z3 out of z5.
z3z29z3
Factor z3 out of 9z3.
z3z2z3⋅9
Cancel the common factor.
z3z2z3⋅9
Rewrite the expression.
z29
z29
Rewrite 9 as 32.
z232
Rewrite z232 as (z3)2.
(z3)2
Pull terms out from under the radical, assuming positive real numbers.
z3
Simplify ( square root of 7z^5)/( square root of 63z^3)

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