Evaluate
12\sqrt{5}-20\sqrt{2}\approx -1.451455517
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12\sqrt{5}-4\sqrt{5}\sqrt{10}
Use the distributive property to multiply 4\sqrt{5} by 3-\sqrt{10}.
12\sqrt{5}-4\sqrt{5}\sqrt{5}\sqrt{2}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
12\sqrt{5}-4\times 5\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
12\sqrt{5}-20\sqrt{2}
Multiply -4 and 5 to get -20.
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