Evaluate
75\sqrt{2}\approx 106.066017178
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\sqrt{\frac{22500}{2}}
Calculate 150 to the power of 2 and get 22500.
\sqrt{11250}
Divide 22500 by 2 to get 11250.
75\sqrt{2}
Factor 11250=75^{2}\times 2. Rewrite the square root of the product \sqrt{75^{2}\times 2} as the product of square roots \sqrt{75^{2}}\sqrt{2}. Take the square root of 75^{2}.
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