Evaluate
3\sqrt{2}+4\sqrt{3}+6\sqrt{6}+2\approx 27.867782374
Factor
3 \sqrt{2} + 4 \sqrt{3} + 6 \sqrt{6} + 2 = 27.867782374
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2+3\sqrt{2}+4\sqrt{3}+6\sqrt{3}\sqrt{2}
Apply the distributive property by multiplying each term of 1+2\sqrt{3} by each term of 2+3\sqrt{2}.
2+3\sqrt{2}+4\sqrt{3}+6\sqrt{6}
To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.
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