Simplify (9+ square root of 7)^2

Math
(9+7)2
Rewrite (9+7)2 as (9+7)(9+7).
(9+7)(9+7)
Expand (9+7)(9+7) using the FOIL Method.
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Apply the distributive property.
9(9+7)+7(9+7)
Apply the distributive property.
9⋅9+97+7(9+7)
Apply the distributive property.
9⋅9+97+7⋅9+77
9⋅9+97+7⋅9+77
Simplify and combine like terms.
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Simplify each term.
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Multiply 9 by 9.
81+97+7⋅9+77
Move 9 to the left of 7.
81+97+9⋅7+77
Combine using the product rule for radicals.
81+97+97+7⋅7
Multiply 7 by 7.
81+97+97+49
Rewrite 49 as 72.
81+97+97+72
Pull terms out from under the radical, assuming positive real numbers.
81+97+97+7
81+97+97+7
Add 81 and 7.
88+97+97
Add 97 and 97.
88+187
88+187
The result can be shown in multiple forms.
Exact Form:
88+187
Decimal Form:
135.62352359…
Simplify (9+ square root of 7)^2

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