Solve frac{15sqrt{3}}{sqrt{3}}

$$\frac { 15 \sqrt { 3 } } { \sqrt { 3 } }$$

Evaluate

$$15$$

Solution Steps

Rationalize the denominator of \frac{15\sqrt{3}}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{15\sqrt{3}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{15\sqrt{3}\sqrt{3}}{3}$$

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

$$\frac{15\times 3}{3}$$

Multiply 15 and 3 to get 45.

$$\frac{45}{3}$$

Divide 45 by 3 to get 15.

$$15$$

Factor

$$3\times 5$$