Evaluate
\sqrt{67}+36-2\sqrt{2}-3\sqrt{3}\approx 36.160773224
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\sqrt{67}-3\sqrt{3}-\sqrt{8}+36
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
\sqrt{67}-3\sqrt{3}-2\sqrt{2}+36
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}.
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