Solve -sqrt{48}-4sqrt{75}

$$- \sqrt { 48 } - 4 \sqrt { 75 }$$

Evaluate

$$-24\sqrt{3}\approx -41.569219382$$

Solution Steps

Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.

$$-4\sqrt{3}-4\sqrt{75}$$

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}.

$$-4\sqrt{3}-4\times 5\sqrt{3}$$

Multiply -4 and 5 to get -20.

$$-4\sqrt{3}-20\sqrt{3}$$

Combine -4\sqrt{3} and -20\sqrt{3} to get -24\sqrt{3}.

$$-24\sqrt{3}$$