Solve -2sqrt{3}-8sqrt{27}

$$-2 \sqrt{ 3 } -8 \sqrt{ 27 }$$

Evaluate

$$-26\sqrt{3}\approx -45.033320997$$

Solution Steps

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

$$-2\sqrt{3}-8\times 3\sqrt{3}$$

Multiply -8 and 3 to get -24.

$$-2\sqrt{3}-24\sqrt{3}$$

Combine -2\sqrt{3} and -24\sqrt{3} to get -26\sqrt{3}.

$$-26\sqrt{3}$$