Evaluate
45\sqrt{2}\approx 63.639610307
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0.9\sqrt{5000}
Multiply 10 and 500 to get 5000.
0.9\times 50\sqrt{2}
Factor 5000=50^{2}\times 2. Rewrite the square root of the product \sqrt{50^{2}\times 2} as the product of square roots \sqrt{50^{2}}\sqrt{2}. Take the square root of 50^{2}.
45\sqrt{2}
Multiply 0.9 and 50 to get 45.
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