Simplify (m-4)/( square root of m+2)

Math
m-4m+2
Multiply m-4m+2 by m-2m-2.
m-4m+2⋅m-2m-2
Multiply m-4m+2 and m-2m-2.
(m-4)(m-2)(m+2)(m-2)
Expand the denominator using the FOIL method.
(m-4)(m-2)m2+m⋅-2+2m-4
Simplify.
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Use axn=axn to rewrite m as m12.
(m-4)(m-2)(m12)2-4
Apply the power rule and multiply exponents, (am)n=amn.
(m-4)(m-2)m12⋅2-4
Combine 12 and 2.
(m-4)(m-2)m22-4
Cancel the common factor of 2.
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Cancel the common factor.
(m-4)(m-2)m22-4
Divide 1 by 1.
(m-4)(m-2)m1-4
(m-4)(m-2)m1-4
Simplify.
(m-4)(m-2)m-4
(m-4)(m-2)m-4
Cancel the common factor of m-4.
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Cancel the common factor.
(m-4)(m-2)m-4
Divide m-2 by 1.
m-2
m-2
Simplify (m-4)/( square root of m+2)

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