Solve sqrt{980/4.9}

$$\sqrt{ \frac{ 980 }{ 4.9 } }$$

Evaluate

$$10\sqrt{2}\approx 14.142135624$$

Solution Steps

Expand \frac{980}{4.9} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{9800}{49}}$$

Divide 9800 by 49 to get 200.

$$\sqrt{200}$$

Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.

$$10\sqrt{2}$$