Solve 42divfrac{sqrt{3}}{3}

$$42 \div \frac{ \sqrt{ 3 } }{ 3 }$$

Evaluate

$$42\sqrt{3}\approx 72.746133918$$

Solution Steps

Divide 42 by \frac{\sqrt{3}}{3} by multiplying 42 by the reciprocal of \frac{\sqrt{3}}{3}.

$$\frac{42\times 3}{\sqrt{3}}$$

Multiply 42 and 3 to get 126.

$$\frac{126}{\sqrt{3}}$$

Rationalize the denominator of \frac{126}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{126\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{126\sqrt{3}}{3}$$

Divide 126\sqrt{3} by 3 to get 42\sqrt{3}.

$$42\sqrt{3}$$