Solve {l}{3sqrt{5}*sqrt{8}}{-sqrt{2})(18}

$$\left. \begin{array} { l } { 3 \sqrt { 5 } \times \sqrt { 8 } } \\ { - \sqrt { 2 } ) ( 18 } \end{array} \right.$$

Evaluate

$$6\sqrt{10}-\sqrt{2}\approx 17.559452399$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$3\sqrt{5}\times 2\sqrt{2}-\sqrt{2}$$

Multiply 3 and 2 to get 6.

$$6\sqrt{5}\sqrt{2}-\sqrt{2}$$

To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.

$$6\sqrt{10}-\sqrt{2}$$