Solve 2/3sqrt{24}=

$$\frac { 2 } { 3 } \sqrt { 24 } =$$

Evaluate

$$\frac{4\sqrt{6}}{3}\approx 3.265986324$$

Solution Steps

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$\frac{2}{3}\times 2\sqrt{6}$$

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

$$\frac{2\times 2}{3}\sqrt{6}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3}\sqrt{6}$$