Evaluate
17\sqrt{14}\approx 63.608175575
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6\sqrt{7}\times 2\sqrt{2}+5\sqrt{14}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
12\sqrt{7}\sqrt{2}+5\sqrt{14}
Multiply 6 and 2 to get 12.
12\sqrt{14}+5\sqrt{14}
To multiply \sqrt{7} and \sqrt{2}, multiply the numbers under the square root.
17\sqrt{14}
Combine 12\sqrt{14} and 5\sqrt{14} to get 17\sqrt{14}.
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