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\sqrt{0\times 10^{-9}}
Multiply 0 and 1 to get 0.
\sqrt{0\times \frac{1}{1000000000}}
Calculate 10 to the power of -9 and get \frac{1}{1000000000}.
\sqrt{0}
Multiply 0 and \frac{1}{1000000000} to get 0.
0
Calculate the square root of 0 and get 0.