Solve {l}{sqrt{5}+2sqrt{45}}{-3sqrt{2}0}

$$\left. \begin{array} { l } { \sqrt { 5 } + 2 \sqrt { 45 } } \\ { - 3 \sqrt { 2 } 0 } \end{array} \right.$$

Evaluate

$$7\sqrt{5}\approx 15.652475842$$

Solution Steps

Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.

$$\sqrt{5}+2\times 3\sqrt{5}-0\times 3\sqrt{2}$$

Multiply 2 and 3 to get 6.

$$\sqrt{5}+6\sqrt{5}-0\times 3\sqrt{2}$$

Combine \sqrt{5} and 6\sqrt{5} to get 7\sqrt{5}.

$$7\sqrt{5}-0\times 3\sqrt{2}$$

Multiply 0 and 3 to get 0.

$$7\sqrt{5}-0\sqrt{2}$$

Anything times zero gives zero.

$$7\sqrt{5}-0$$