Solve {l}{sqrt{2}(sqrt{3}}{-sqrt{2})}

$$\left. \begin{array} { l } { \sqrt { 2 } ( \sqrt { 3 } } \\ { - \sqrt { 2 } ) } \end{array} \right.$$

Evaluate

$$\sqrt{6}-2\approx 0.449489743$$

Solution Steps

Use the distributive property to multiply \sqrt{2} by \sqrt{3}-\sqrt{2}.

$$\sqrt{2}\sqrt{3}-\left(\sqrt{2}\right)^{2}$$

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$\sqrt{6}-\left(\sqrt{2}\right)^{2}$$

The square of \sqrt{2} is 2.

$$\sqrt{6}-2$$