Evaluate
36\sqrt{5}-6\sqrt{30}-6\approx 41.63509374
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6\left(2\times 3\sqrt{5}-1-\sqrt{30}\right)
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
6\left(6\sqrt{5}-1-\sqrt{30}\right)
Multiply 2 and 3 to get 6.
36\sqrt{5}-6-6\sqrt{30}
Use the distributive property to multiply 6 by 6\sqrt{5}-1-\sqrt{30}.
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