Evaluate
3\sqrt{5}+30\sqrt{3}+40\approx 98.66972816
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3\sqrt{5}+6\times 5\sqrt{3}+4\sqrt{100}
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}.
3\sqrt{5}+30\sqrt{3}+4\sqrt{100}
Multiply 6 and 5 to get 30.
3\sqrt{5}+30\sqrt{3}+4\times 10
Calculate the square root of 100 and get 10.
3\sqrt{5}+30\sqrt{3}+40
Multiply 4 and 10 to get 40.
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