Solve frac{25^2*sqrt{44}+sqrt[2]{32}}{8}

$$\frac { 25 ^ { 2 } \times \sqrt { 44 } + \sqrt[ 2 ] { 32 } } { 8 }$$

Evaluate

$$\frac{\sqrt{2}}{2}+\frac{625\sqrt{11}}{4}\approx 518.929730274$$

Solution Steps

Calculate 25 to the power of 2 and get 625.

$$\frac{625\sqrt{44}+\sqrt[2]{32}}{8}$$

Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.

$$\frac{625\times 2\sqrt{11}+\sqrt[2]{32}}{8}$$

Multiply 625 and 2 to get 1250.

$$\frac{1250\sqrt{11}+\sqrt[2]{32}}{8}$$