Solve sqrt{6/9.8}

$$\sqrt{ \frac{ 6 }{ 9.8 } }$$

Evaluate

$$\frac{\sqrt{30}}{7}\approx 0.782460796$$

Solution Steps

Expand \frac{6}{9.8} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{60}{98}}$$

Reduce the fraction \frac{60}{98} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{30}{49}}$$

Rewrite the square root of the division \sqrt{\frac{30}{49}} as the division of square roots \frac{\sqrt{30}}{\sqrt{49}}.

$$\frac{\sqrt{30}}{\sqrt{49}}$$

Calculate the square root of 49 and get 7.

$$\frac{\sqrt{30}}{7}$$