Solve sqrt{3}*5/sqrt{3}

$$\sqrt{ 3 } \times \frac{ 5 }{ \sqrt{ 3 } }$$

Evaluate

$$5$$

Solution Steps

Rationalize the denominator of \frac{5}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\sqrt{3}\times \frac{5\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\sqrt{3}\times \frac{5\sqrt{3}}{3}$$

Express \sqrt{3}\times \frac{5\sqrt{3}}{3} as a single fraction.

$$\frac{\sqrt{3}\times 5\sqrt{3}}{3}$$

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

$$\frac{3\times 5}{3}$$

Cancel out 3 and 3.

$$5$$

Factor

$$5$$