Evaluate
6\sqrt{210}\approx 86.948260477
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\sqrt{84}\sqrt{87+3}
Subtract 3 from 87 to get 84.
2\sqrt{21}\sqrt{87+3}
Factor 84=2^{2}\times 21. Rewrite the square root of the product \sqrt{2^{2}\times 21} as the product of square roots \sqrt{2^{2}}\sqrt{21}. Take the square root of 2^{2}.
2\sqrt{21}\sqrt{90}
Add 87 and 3 to get 90.
2\sqrt{21}\times 3\sqrt{10}
Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.
6\sqrt{21}\sqrt{10}
Multiply 2 and 3 to get 6.
6\sqrt{210}
To multiply \sqrt{21} and \sqrt{10}, multiply the numbers under the square root.
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