Solve frac{sqrt{1}}{9}*sqrt{8}1

$$\frac { \sqrt { 1 } } { 9 } \times \sqrt { 8 } 1$$

Evaluate

$$\frac{2\sqrt{2}}{9}\approx 0.314269681$$

Solution Steps

Calculate the square root of 1 and get 1.

$$1\times \frac{1}{9}\sqrt{8}$$

Multiply 1 and \frac{1}{9} to get \frac{1}{9}.

$$\frac{1}{9}\sqrt{8}$$

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}.

$$\frac{1}{9}\times 2\sqrt{2}$$

Multiply \frac{1}{9} and 2 to get \frac{2}{9}.

$$\frac{2}{9}\sqrt{2}$$