Evaluate
\frac{10\sqrt{2}}{7}\approx 2.020305089
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\sqrt{\frac{400}{98}}
Expand \frac{40}{9.8} by multiplying both numerator and the denominator by 10.
\sqrt{\frac{200}{49}}
Reduce the fraction \frac{400}{98} to lowest terms by extracting and canceling out 2.
\frac{\sqrt{200}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{200}{49}} as the division of square roots \frac{\sqrt{200}}{\sqrt{49}}.
\frac{10\sqrt{2}}{\sqrt{49}}
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}.
\frac{10\sqrt{2}}{7}
Calculate the square root of 49 and get 7.
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