Evaluate
\frac{3\sqrt{32401}}{20}\approx 27.000416663
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\frac{\sqrt{22500+27000^{2}}}{1000}
Calculate 150 to the power of 2 and get 22500.
\frac{\sqrt{22500+729000000}}{1000}
Calculate 27000 to the power of 2 and get 729000000.
\frac{\sqrt{729022500}}{1000}
Add 22500 and 729000000 to get 729022500.
\frac{150\sqrt{32401}}{1000}
Factor 729022500=150^{2}\times 32401. Rewrite the square root of the product \sqrt{150^{2}\times 32401} as the product of square roots \sqrt{150^{2}}\sqrt{32401}. Take the square root of 150^{2}.
\frac{3}{20}\sqrt{32401}
Divide 150\sqrt{32401} by 1000 to get \frac{3}{20}\sqrt{32401}.
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