Solve =(-frac{sqrt{3}}{3})*(-2sqrt{21})

$$= ( - \frac { \sqrt { 3 } } { 3 } ) \times ( - 2 \sqrt { 21 } )$$

Evaluate

$$2\sqrt{7}\approx 5.291502622$$

Solution Steps

Express \left(-\frac{\sqrt{3}}{3}\right)\left(-2\right) as a single fraction.

$$\frac{\sqrt{3}\times 2}{3}\sqrt{21}$$

Express \frac{\sqrt{3}\times 2}{3}\sqrt{21} as a single fraction.

$$\frac{\sqrt{3}\times 2\sqrt{21}}{3}$$

Factor 21=3\times 7. Rewrite the square root of the product \sqrt{3\times 7} as the product of square roots \sqrt{3}\sqrt{7}.

$$\frac{\sqrt{3}\times 2\sqrt{3}\sqrt{7}}{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{3\times 2\sqrt{7}}{3}$$

Multiply 3 and 2 to get 6.

$$\frac{6\sqrt{7}}{3}$$

Divide 6\sqrt{7} by 3 to get 2\sqrt{7}.

$$2\sqrt{7}$$