Solve sqrt{32}2/5

$$\sqrt { 32 } \frac { 2 } { 5 }$$

Evaluate

$$\frac{8\sqrt{2}}{5}\approx 2.2627417$$

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}.

$$4\sqrt{2}\times \frac{2}{5}$$

Express 4\times \frac{2}{5} as a single fraction.

$$\frac{4\times 2}{5}\sqrt{2}$$

Multiply 4 and 2 to get 8.

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