Simplify ( square root of 81+1/2)^2

Math
(81+12)2
Simplify each term.
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Rewrite 81 as 92.
(92+12)2
Pull terms out from under the radical, assuming positive real numbers.
(9+12)2
(9+12)2
To write 9 as a fraction with a common denominator, multiply by 22.
(9⋅22+12)2
Combine 9 and 22.
(9⋅22+12)2
Combine the numerators over the common denominator.
(9⋅2+12)2
Simplify the numerator.
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Multiply 9 by 2.
(18+12)2
Add 18 and 1.
(192)2
(192)2
Apply the product rule to 192.
19222
Raise 19 to the power of 2.
36122
Raise 2 to the power of 2.
3614
The result can be shown in multiple forms.
Exact Form:
3614
Decimal Form:
90.25
Mixed Number Form:
9014
Simplify ( square root of 81+1/2)^2

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