Solve -5sqrt{56}-5sqrt{14}

$$- 5 \sqrt { 56 } - 5 \sqrt { 14 }$$

Evaluate

$$-15\sqrt{14}\approx -56.124860802$$

Solution Steps

Factor 56=2^{2}\times 14. Rewrite the square root of the product \sqrt{2^{2}\times 14} as the product of square roots \sqrt{2^{2}}\sqrt{14}. Take the square root of 2^{2}.

$$-5\times 2\sqrt{14}-5\sqrt{14}$$

Multiply -5 and 2 to get -10.

$$-10\sqrt{14}-5\sqrt{14}$$

Combine -10\sqrt{14} and -5\sqrt{14} to get -15\sqrt{14}.

$$-15\sqrt{14}$$