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\sqrt{10500\times 50\times 10}
Multiply 150 and 70 to get 10500.
\sqrt{525000\times 10}
Multiply 10500 and 50 to get 525000.
\sqrt{5250000}
Multiply 525000 and 10 to get 5250000.
500\sqrt{21}
Factor 5250000=500^{2}\times 21. Rewrite the square root of the product \sqrt{500^{2}\times 21} as the product of square roots \sqrt{500^{2}}\sqrt{21}. Take the square root of 500^{2}.