Evaluate
3\sqrt{11}\approx 9.949874371
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\sqrt{25+2^{2}\times 20-6}
Calculate 5 to the power of 2 and get 25.
\sqrt{25+4\times 20-6}
Calculate 2 to the power of 2 and get 4.
\sqrt{25+80-6}
Multiply 4 and 20 to get 80.
\sqrt{105-6}
Add 25 and 80 to get 105.
\sqrt{99}
Subtract 6 from 105 to get 99.
3\sqrt{11}
Factor 99=3^{2}\times 11. Rewrite the square root of the product \sqrt{3^{2}\times 11} as the product of square roots \sqrt{3^{2}}\sqrt{11}. Take the square root of 3^{2}.
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