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\sqrt{3\times 25+2\times 5^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{75+2\times 5^{2}}
Multiply 3 and 25 to get 75.
\sqrt{75+2\times 25}
Calculate 5 to the power of 2 and get 25.
\sqrt{75+50}
Multiply 2 and 25 to get 50.
\sqrt{125}
Add 75 and 50 to get 125.
5\sqrt{5}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.