Solve {l}{sqrt{236}4}{+sqrt{86}}

$$\left. \begin{array} { l } { \sqrt { 236 } 4 } \\ { + \sqrt { 86 } } \end{array} \right.$$

Evaluate

$$\sqrt{86}+8\sqrt{59}\approx 70.722784478$$

Solution Steps

Factor 236=2^{2}\times 59. Rewrite the square root of the product \sqrt{2^{2}\times 59} as the product of square roots \sqrt{2^{2}}\sqrt{59}. Take the square root of 2^{2}.

$$4\times 2\sqrt{59}+\sqrt{86}$$

Multiply 4 and 2 to get 8.

$$8\sqrt{59}+\sqrt{86}$$