Solve frac{sqrt{5}*sqrt{8}}{2}

$$\frac{ \sqrt{ 5 } \times \sqrt{ 8 } }{ 2 }$$

Evaluate

$$\sqrt{10}\approx 3.16227766$$

Solution Steps

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$\frac{\sqrt{5}\times 2\sqrt{2}}{2}$$

To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.

$$\frac{\sqrt{10}\times 2}{2}$$

Cancel out 2 and 2.

$$\sqrt{10}$$