# Simplify square root of 63/(18x)

6318x
Reduce the expression 6318x by cancelling the common factors.
Factor 9 out of 63.
9(7)18x
Factor 9 out of 18x.
9(7)9(2x)
Cancel the common factor.
9⋅79(2x)
Rewrite the expression.
72x
72x
Rewrite 72x as 72x.
72x
Multiply 72x by 2x2x.
72x⋅2x2x
Combine and simplify the denominator.
Multiply 72x and 2x2x.
72x2x2x
Raise 2x to the power of 1.
72x2x12x
Raise 2x to the power of 1.
72x2x12x1
Use the power rule aman=am+n to combine exponents.
72x2x1+1
72x2x2
Rewrite 2×2 as 2x.
Use axn=axn to rewrite 2x as (2x)12.
72x((2x)12)2
Apply the power rule and multiply exponents, (am)n=amn.
72x(2x)12⋅2
Combine 12 and 2.
72x(2x)22
Cancel the common factor of 2.
Cancel the common factor.
72x(2x)22
Divide 1 by 1.
72x(2x)1
72x(2x)1
Simplify.
72x2x
72x2x
72x2x
Simplify the numerator.
Combine using the product rule for radicals.
7(2x)2x
Multiply 7 by 2.
14x2x
14x2x
Simplify square root of 63/(18x)

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