Simplify (2a)/( square root of 4a)

Math
2a4a
Simplify the denominator.
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Rewrite 4 as 22.
2a22a
Pull terms out from under the radical.
2a2a
2a2a
Cancel the common factor of 2.
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Cancel the common factor.
2a2a
Rewrite the expression.
aa
aa
Multiply aa by aa.
aa⋅aa
Combine and simplify the denominator.
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Multiply aa and aa.
aaaa
Raise a to the power of 1.
aaa1a
Raise a to the power of 1.
aaa1a1
Use the power rule aman=am+n to combine exponents.
aaa1+1
Add 1 and 1.
aaa2
Rewrite a2 as a.
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Use axn=axn to rewrite a as a12.
aa(a12)2
Apply the power rule and multiply exponents, (am)n=amn.
aaa12⋅2
Combine 12 and 2.
aaa22
Cancel the common factor of 2.
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Cancel the common factor.
aaa22
Divide 1 by 1.
aaa1
aaa1
Simplify.
aaa
aaa
aaa
Cancel the common factor of a.
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Cancel the common factor.
aaa
Divide a by 1.
a
a
Simplify (2a)/( square root of 4a)

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