Solve -5sqrt{60}+4sqrt{80}

$$- 5 \sqrt { 60 } + 4 \sqrt { 80 }$$

Evaluate

$$16\sqrt{5}-10\sqrt{15}\approx -2.952745822$$

Solution Steps

Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.

$$-5\times 2\sqrt{15}+4\sqrt{80}$$

Multiply -5 and 2 to get -10.

$$-10\sqrt{15}+4\sqrt{80}$$

Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.

$$-10\sqrt{15}+4\times 4\sqrt{5}$$

Multiply 4 and 4 to get 16.

$$-10\sqrt{15}+16\sqrt{5}$$