Solve 855/sqrt{33}

$$\frac{ 855 }{ \sqrt{ 33 } }$$

Evaluate

$$\frac{285\sqrt{33}}{11}\approx 148.836395842$$

Solution Steps

Rationalize the denominator of \frac{855}{\sqrt{33}} by multiplying numerator and denominator by \sqrt{33}.

$$\frac{855\sqrt{33}}{\left(\sqrt{33}\right)^{2}}$$

The square of \sqrt{33} is 33.

$$\frac{855\sqrt{33}}{33}$$

Divide 855\sqrt{33} by 33 to get \frac{285}{11}\sqrt{33}.

$$\frac{285}{11}\sqrt{33}$$