Simplify ( square root of a+5-6)^2

Math
(a+5-6)2
Rewrite (a+5-6)2 as (a+5-6)(a+5-6).
(a+5-6)(a+5-6)
Expand (a+5-6)(a+5-6) using the FOIL Method.
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Apply the distributive property.
a+5(a+5-6)-6(a+5-6)
Apply the distributive property.
a+5a+5+a+5⋅-6-6(a+5-6)
Apply the distributive property.
a+5a+5+a+5⋅-6-6a+5-6⋅-6
a+5a+5+a+5⋅-6-6a+5-6⋅-6
Simplify and combine like terms.
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Simplify each term.
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Multiply a+5a+5.
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Raise a+5 to the power of 1.
a+51a+5+a+5⋅-6-6a+5-6⋅-6
Raise a+5 to the power of 1.
a+51a+51+a+5⋅-6-6a+5-6⋅-6
Use the power rule aman=am+n to combine exponents.
a+51+1+a+5⋅-6-6a+5-6⋅-6
Add 1 and 1.
a+52+a+5⋅-6-6a+5-6⋅-6
a+52+a+5⋅-6-6a+5-6⋅-6
Rewrite a+52 as a+5.
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Use axn=axn to rewrite a+5 as (a+5)12.
((a+5)12)2+a+5⋅-6-6a+5-6⋅-6
Apply the power rule and multiply exponents, (am)n=amn.
(a+5)12⋅2+a+5⋅-6-6a+5-6⋅-6
Combine 12 and 2.
(a+5)22+a+5⋅-6-6a+5-6⋅-6
Cancel the common factor of 2.
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Cancel the common factor.
(a+5)22+a+5⋅-6-6a+5-6⋅-6
Divide 1 by 1.
(a+5)1+a+5⋅-6-6a+5-6⋅-6
(a+5)1+a+5⋅-6-6a+5-6⋅-6
Simplify.
a+5+a+5⋅-6-6a+5-6⋅-6
a+5+a+5⋅-6-6a+5-6⋅-6
Move -6 to the left of a+5.
a+5-6⋅a+5-6a+5-6⋅-6
Multiply -6 by -6.
a+5-6a+5-6a+5+36
a+5-6a+5-6a+5+36
Add 5 and 36.
a+41-6a+5-6a+5
Subtract 6a+5 from -6a+5.
a+41-12a+5
a+41-12a+5
Simplify ( square root of a+5-6)^2

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