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\sqrt{\frac{37}{9\times 10^{18}}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\sqrt{\frac{37}{9\times 1000000000000000000}}
Calculate 10 to the power of 18 and get 1000000000000000000.
\sqrt{\frac{37}{9000000000000000000}}
Multiply 9 and 1000000000000000000 to get 9000000000000000000.
\frac{\sqrt{37}}{\sqrt{9000000000000000000}}
Rewrite the square root of the division \sqrt{\frac{37}{9000000000000000000}} as the division of square roots \frac{\sqrt{37}}{\sqrt{9000000000000000000}}.
\frac{\sqrt{37}}{3000000000}
Calculate the square root of 9000000000000000000 and get 3000000000.