Solve frac{4sqrt{6}}{3}*sqrt{3}

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

Evaluate

$$4\sqrt{2}\approx 5.656854249$$

Solution Steps

Express \frac{4\sqrt{6}}{3}\sqrt{3} as a single fraction.

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

Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.

$$\frac{4\sqrt{3}\sqrt{2}\sqrt{3}}{3}$$

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

$$\frac{4\times 3\sqrt{2}}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{12\sqrt{2}}{3}$$

Divide 12\sqrt{2} by 3 to get 4\sqrt{2}.

$$4\sqrt{2}$$