Solve sqrt{4.9/3.5}

$$\sqrt{ \frac{ 4.9 }{ 3.5 } }$$

Evaluate

$$\frac{\sqrt{35}}{5}\approx 1.183215957$$

Solution Steps

Expand \frac{4.9}{3.5} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{49}{35}}$$

Reduce the fraction \frac{49}{35} to lowest terms by extracting and canceling out 7.

$$\sqrt{\frac{7}{5}}$$

Rewrite the square root of the division \sqrt{\frac{7}{5}} as the division of square roots \frac{\sqrt{7}}{\sqrt{5}}.

$$\frac{\sqrt{7}}{\sqrt{5}}$$

Rationalize the denominator of \frac{\sqrt{7}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{\sqrt{7}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{\sqrt{7}\sqrt{5}}{5}$$

To multiply \sqrt{7} and \sqrt{5}, multiply the numbers under the square root.

$$\frac{\sqrt{35}}{5}$$