Solve 2sqrt{6}Xsqrt{1/3}

$$2 \sqrt { 6 } X \sqrt { \frac { 1 } { 3 } }$$

Evaluate

$$2\sqrt{2}X$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{1}{3}} as the division of square roots \frac{\sqrt{1}}{\sqrt{3}}.

$$2\sqrt{6}X\times \frac{\sqrt{1}}{\sqrt{3}}$$

Calculate the square root of 1 and get 1.

$$2\sqrt{6}X\times \frac{1}{\sqrt{3}}$$

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$2\sqrt{6}X\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

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

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

Express \frac{2\sqrt{3}}{3}\sqrt{6} as a single fraction.

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

Express \frac{2\sqrt{3}\sqrt{6}}{3}X as a single fraction.

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

Differentiate w.r.t. X

$$2 \sqrt{2} = 2.828427125$$