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\sqrt{\frac{20}{0.5}}
Multiply 20 and 1 to get 20.
\sqrt{\frac{200}{5}}
Expand \frac{20}{0.5} by multiplying both numerator and the denominator by 10.
\sqrt{40}
Divide 200 by 5 to get 40.
2\sqrt{10}
Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.