Solve 28/sqrt{60}

$$\frac{ 28 }{ \sqrt{ 60 } }$$

Evaluate

$$\frac{14\sqrt{15}}{15}\approx 3.614784456$$

Solution Steps

Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.

$$\frac{28}{2\sqrt{15}}$$

Rationalize the denominator of \frac{28}{2\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$\frac{28\sqrt{15}}{2\left(\sqrt{15}\right)^{2}}$$

The square of \sqrt{15} is 15.

$$\frac{28\sqrt{15}}{2\times 15}$$

Cancel out 2 in both numerator and denominator.

$$\frac{14\sqrt{15}}{15}$$