Evaluate
\sqrt{251501}\approx 501.498753737
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\sqrt{250000+3\times 500+1}
Calculate 500 to the power of 2 and get 250000.
\sqrt{250000+1500+1}
Multiply 3 and 500 to get 1500.
\sqrt{251500+1}
Add 250000 and 1500 to get 251500.
\sqrt{251501}
Add 251500 and 1 to get 251501.
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