Solve 2(sqrt{2})^2-112-sqrt{2}+3+sqrt{2}

$$2 ( \sqrt { 2 } ) ^ { 2 } - 112 - \sqrt { 2 } + 3 + \sqrt { 2 }$$

Evaluate

$$-105$$

Solution Steps

The square of \sqrt{2} is 2.

$$2\times 2-112-\sqrt{2}+3+\sqrt{2}$$

Multiply 2 and 2 to get 4.

$$4-112-\sqrt{2}+3+\sqrt{2}$$

Subtract 112 from 4 to get -108.

$$-108-\sqrt{2}+3+\sqrt{2}$$

Add -108 and 3 to get -105.

$$-105-\sqrt{2}+\sqrt{2}$$

Combine -\sqrt{2} and \sqrt{2} to get 0.

$$-105$$

Factor

$$-105$$