Solve frac{961sqrt{3}}{1}*2/sqrt{3}

$$\frac{ 961 \sqrt{ 3 } }{ 1 } \times \frac{ 2 }{ \sqrt{ 3 } }$$

Evaluate

$$1922$$

Solution Steps

Anything divided by one gives itself.

$$961\sqrt{3}\times \frac{2}{\sqrt{3}}$$

Rationalize the denominator of \frac{2}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$961\sqrt{3}\times \frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$961\sqrt{3}\times \frac{2\sqrt{3}}{3}$$

Express 961\times \frac{2\sqrt{3}}{3} as a single fraction.

$$\frac{961\times 2\sqrt{3}}{3}\sqrt{3}$$

Multiply 961 and 2 to get 1922.

$$\frac{1922\sqrt{3}}{3}\sqrt{3}$$

Express \frac{1922\sqrt{3}}{3}\sqrt{3} as a single fraction.

$$\frac{1922\sqrt{3}\sqrt{3}}{3}$$

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

$$\frac{1922\times 3}{3}$$

Cancel out 3 and 3.

$$1922$$

Factor

$$2\times 31^{2}$$