Solve 6/sqrt{32}

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

Evaluate

$$\sqrt{3}\approx 1.732050808$$

Solution Steps

Rationalize the denominator of \frac{6}{2\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

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

The square of \sqrt{3} is 3.

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

Cancel out 2\times 3 in both numerator and denominator.

$$\sqrt{3}$$