Evaluate
15-4\sqrt{3}\approx 8.07179677
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\sqrt{3}\left(5\sqrt{3}-4\right)
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}.
5\left(\sqrt{3}\right)^{2}-4\sqrt{3}
Use the distributive property to multiply \sqrt{3} by 5\sqrt{3}-4.
5\times 3-4\sqrt{3}
The square of \sqrt{3} is 3.
15-4\sqrt{3}
Multiply 5 and 3 to get 15.
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