Solve frac{-2+sqrt{32}}{2*4}

$$\frac{ -2+ \sqrt{ 32 } }{ 2 \cdot 4 }$$

Evaluate

$$\frac{\sqrt{2}}{2}-\frac{1}{4}\approx 0.457106781$$

Solution Steps

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

$$\frac{-2+4\sqrt{2}}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{-2+4\sqrt{2}}{8}$$