Evaluate
21\sqrt{5}-4\sqrt{3}\approx 40.029224297
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7\sqrt{3}\sqrt{15}-4\sqrt{3}
Use the distributive property to multiply \sqrt{3} by 7\sqrt{15}-4.
7\sqrt{3}\sqrt{3}\sqrt{5}-4\sqrt{3}
Factor 15=3\times 5. Rewrite the square root of the product \sqrt{3\times 5} as the product of square roots \sqrt{3}\sqrt{5}.
7\times 3\sqrt{5}-4\sqrt{3}
Multiply \sqrt{3} and \sqrt{3} to get 3.
21\sqrt{5}-4\sqrt{3}
Multiply 7 and 3 to get 21.
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