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\sqrt{225-50}
Multiply 5 and 10 to get 50.
\sqrt{175}
Subtract 50 from 225 to get 175.
5\sqrt{7}
Factor 175=5^{2}\times 7. Rewrite the square root of the product \sqrt{5^{2}\times 7} as the product of square roots \sqrt{5^{2}}\sqrt{7}. Take the square root of 5^{2}.