Evaluate
30\sqrt{2}-3\sqrt{55}\approx 20.17781141
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5\times 2\sqrt{2}-3\sqrt{55}+20\sqrt{2}
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}.
10\sqrt{2}-3\sqrt{55}+20\sqrt{2}
Multiply 5 and 2 to get 10.
30\sqrt{2}-3\sqrt{55}
Combine 10\sqrt{2} and 20\sqrt{2} to get 30\sqrt{2}.
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