Solve {l}{sqrt{112}+sqrt{282}}{-sqrt{143}}

$$\left. \begin{array} { l } { \sqrt { 112 } + \sqrt { 282 } } \\ { - \sqrt { 143 } } \end{array} \right.$$

Evaluate

$$\sqrt{282}+4\sqrt{7}-\sqrt{143}\approx 15.417600125$$

Solution Steps

Factor 112=4^{2}\times 7. Rewrite the square root of the product \sqrt{4^{2}\times 7} as the product of square roots \sqrt{4^{2}}\sqrt{7}. Take the square root of 4^{2}.

$$4\sqrt{7}+\sqrt{282}-\sqrt{143}$$