Simplify (2a)/( square root of 2av)

Math
2a2av
Multiply 2a2av by 2av2av.
2a2av⋅2av2av
Combine and simplify the denominator.
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Multiply 2a2av and 2av2av.
2a2av2av2av
Raise 2av to the power of 1.
2a2av2av12av
Raise 2av to the power of 1.
2a2av2av12av1
Use the power rule aman=am+n to combine exponents.
2a2av2av1+1
Add 1 and 1.
2a2av2av2
Rewrite 2av2 as 2av.
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Use axn=axn to rewrite 2av as (2av)12.
2a2av((2av)12)2
Apply the power rule and multiply exponents, (am)n=amn.
2a2av(2av)12⋅2
Combine 12 and 2.
2a2av(2av)22
Cancel the common factor of 2.
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Cancel the common factor.
2a2av(2av)22
Divide 1 by 1.
2a2av(2av)1
2a2av(2av)1
Simplify.
2a2av2av
2a2av2av
2a2av2av
Cancel the common factor of 2.
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Cancel the common factor.
2a2av2av
Rewrite the expression.
a2avav
a2avav
Cancel the common factor of a.
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Cancel the common factor.
a2avav
Rewrite the expression.
2avv
2avv
Simplify (2a)/( square root of 2av)

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