Evaluate
5\sqrt{3722}\approx 305.040980853
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\sqrt{100+22\times 65^{2}}
Calculate 10 to the power of 2 and get 100.
\sqrt{100+22\times 4225}
Calculate 65 to the power of 2 and get 4225.
\sqrt{100+92950}
Multiply 22 and 4225 to get 92950.
\sqrt{93050}
Add 100 and 92950 to get 93050.
5\sqrt{3722}
Factor 93050=5^{2}\times 3722. Rewrite the square root of the product \sqrt{5^{2}\times 3722} as the product of square roots \sqrt{5^{2}}\sqrt{3722}. Take the square root of 5^{2}.
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