Solve 9/sqrt{1050}

$$\frac{ 9 }{ \sqrt{ 1050 } }$$

Evaluate

$$\frac{3\sqrt{42}}{70}\approx 0.27774603$$

Solution Steps

Factor 1050=5^{2}\times 42. Rewrite the square root of the product \sqrt{5^{2}\times 42} as the product of square roots \sqrt{5^{2}}\sqrt{42}. Take the square root of 5^{2}.

$$\frac{9}{5\sqrt{42}}$$

Rationalize the denominator of \frac{9}{5\sqrt{42}} by multiplying numerator and denominator by \sqrt{42}.

$$\frac{9\sqrt{42}}{5\left(\sqrt{42}\right)^{2}}$$

The square of \sqrt{42} is 42.

$$\frac{9\sqrt{42}}{5\times 42}$$

Cancel out 3 in both numerator and denominator.

$$\frac{3\sqrt{42}}{5\times 14}$$

Multiply 5 and 14 to get 70.

$$\frac{3\sqrt{42}}{70}$$