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\sqrt{1.77\times \frac{1}{10000000000}}
Calculate 10 to the power of -10 and get \frac{1}{10000000000}.
\sqrt{\frac{177}{1000000000000}}
Multiply 1.77 and \frac{1}{10000000000} to get \frac{177}{1000000000000}.
\frac{\sqrt{177}}{\sqrt{1000000000000}}
Rewrite the square root of the division \sqrt{\frac{177}{1000000000000}} as the division of square roots \frac{\sqrt{177}}{\sqrt{1000000000000}}.
\frac{\sqrt{177}}{1000000}
Calculate the square root of 1000000000000 and get 1000000.