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\sqrt{19.6\times 60\times 10^{-2}}
Multiply 2 and 9.8 to get 19.6.
\sqrt{1176\times 10^{-2}}
Multiply 19.6 and 60 to get 1176.
\sqrt{1176\times \frac{1}{100}}
Calculate 10 to the power of -2 and get \frac{1}{100}.
\sqrt{\frac{294}{25}}
Multiply 1176 and \frac{1}{100} to get \frac{294}{25}.
\frac{\sqrt{294}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{294}{25}} as the division of square roots \frac{\sqrt{294}}{\sqrt{25}}.
\frac{7\sqrt{6}}{\sqrt{25}}
Factor 294=7^{2}\times 6. Rewrite the square root of the product \sqrt{7^{2}\times 6} as the product of square roots \sqrt{7^{2}}\sqrt{6}. Take the square root of 7^{2}.
\frac{7\sqrt{6}}{5}
Calculate the square root of 25 and get 5.