Solve (2-sqrt{2})(2+sqrt{2})=

$$( 2 - \sqrt { 2 } ) ( 2 + \sqrt { 2 } ) =$$

Evaluate

$$2$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$2^{2}-\left(\sqrt{2}\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$4-\left(\sqrt{2}\right)^{2}$$

The square of \sqrt{2} is 2.

$$4-2$$

Subtract 2 from 4 to get 2.

$$2$$

Factor

$$2$$