Solve {l}{1sqrt{2}*sqrt{3}}{+2sqrt{2}}

$$\left. \begin{array} { l } { 1 \sqrt { 2 } \cdot \sqrt { 3 } } \\ { + 2 \sqrt { 2 } } \end{array} \right.$$

Evaluate

$$\sqrt{6}+2\sqrt{2}\approx 5.277916868$$

Solution Steps

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

$$1\sqrt{6}+2\sqrt{2}$$

For any term t, t\times 1=t and 1t=t.

$$\sqrt{6}+2\sqrt{2}$$

Factor

$$\sqrt{2} {(\sqrt{3} + 2)} = 5.277916868$$