Solve {l}{3sqrt{5}quad55sqrt{3}}{-4sqrt{13}quad5-5sqrt{11}}

$$\left. \begin{array} { l } { 3 \sqrt { 5 } \quad 55 \sqrt { 3 } } \\ { - 4 \sqrt { 13 } \quad 5 - 5 \sqrt { 11 } } \end{array} \right.$$

Evaluate

$$165\sqrt{15}-5\sqrt{11}-20\sqrt{13}\approx 550.348102663$$

Solution Steps

Multiply 3 and 55 to get 165.

$$165\sqrt{5}\sqrt{3}-4\times 5\sqrt{13}-5\sqrt{11}$$

To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.

$$165\sqrt{15}-4\times 5\sqrt{13}-5\sqrt{11}$$

Multiply 4 and 5 to get 20.

$$165\sqrt{15}-20\sqrt{13}-5\sqrt{11}$$

Factor

$$5 {(33 \sqrt{15} - \sqrt{11} - 4 \sqrt{13})} = 550.348102663$$