Solve frac{sqrt{96}}{8}

$$\frac { \sqrt { 96 } } { 8 }$$

Evaluate

$$\frac{\sqrt{6}}{2}\approx 1.224744871$$

Solution Steps

Factor 96=4^{2}\times 6. Rewrite the square root of the product \sqrt{4^{2}\times 6} as the product of square roots \sqrt{4^{2}}\sqrt{6}. Take the square root of 4^{2}.

$$\frac{4\sqrt{6}}{8}$$

Divide 4\sqrt{6} by 8 to get \frac{1}{2}\sqrt{6}.

$$\frac{1}{2}\sqrt{6}$$