Evaluate
6\sqrt{3}-\sqrt{2}\approx 8.978091283
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5\sqrt{3}-\sqrt{2}+\sqrt{3}
Factor 75=5^{2}\times 3. Rewrite the square root of the product \sqrt{5^{2}\times 3} as the product of square roots \sqrt{5^{2}}\sqrt{3}. Take the square root of 5^{2}.
6\sqrt{3}-\sqrt{2}
Combine 5\sqrt{3} and \sqrt{3} to get 6\sqrt{3}.
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