Solve 2/5sqrt{72}

$$\frac { 2 } { 5 } \sqrt { 72 }$$

Evaluate

$$\frac{12\sqrt{2}}{5}\approx 3.39411255$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$\frac{2}{5}\times 6\sqrt{2}$$

Express \frac{2}{5}\times 6 as a single fraction.

$$\frac{2\times 6}{5}\sqrt{2}$$

Multiply 2 and 6 to get 12.

$$\frac{12}{5}\sqrt{2}$$