Simplify ( square root of 12- square root of 3)^2

Math
(12-3)2
Simplify each term.
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Rewrite 12 as 22⋅3.
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Factor 4 out of 12.
(4(3)-3)2
Rewrite 4 as 22.
(22⋅3-3)2
(22⋅3-3)2
Pull terms out from under the radical.
(23-3)2
(23-3)2
Simplify terms.
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Subtract 3 from 23.
32
Rewrite 32 as 3.
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Use axn=axn to rewrite 3 as 312.
(312)2
Apply the power rule and multiply exponents, (am)n=amn.
312⋅2
Combine 12 and 2.
322
Cancel the common factor of 2.
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Cancel the common factor.
322
Divide 1 by 1.
31
31
Evaluate the exponent.
3
3
3
Simplify ( square root of 12- square root of 3)^2

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