Simplify x/(4+ square root of x)

Math
x4+x
Multiply x4+x by 4-x4-x.
x4+x⋅4-x4-x
Multiply x4+x and 4-x4-x.
x(4-x)(4+x)(4-x)
Expand the denominator using the FOIL method.
x(4-x)16-4x+x⋅4-x2
Simplify.
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Use axn=axn to rewrite x as x12.
x(4-x)16-(x12)2
Apply the power rule and multiply exponents, (am)n=amn.
x(4-x)16-x12⋅2
Combine 12 and 2.
x(4-x)16-x22
Cancel the common factor of 2.
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Cancel the common factor.
x(4-x)16-x22
Divide 1 by 1.
x(4-x)16-x1
x(4-x)16-x1
Simplify.
x(4-x)16-x
x(4-x)16-x
Simplify x/(4+ square root of x)

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