(12-3)2

Rewrite 12 as 22⋅3.

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

Subtract 3 from 23.

32

Rewrite 32 as 3.

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.

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