Solve 2sqrt{27}-4sqrt{27}

$$2 \sqrt { 27 } - 4 \sqrt { 27 }$$

Evaluate

$$-6\sqrt{3}\approx -10.392304845$$

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}.

$$2\times 3\sqrt{3}-4\sqrt{27}$$

Multiply 2 and 3 to get 6.

$$6\sqrt{3}-4\sqrt{27}$$

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}.

$$6\sqrt{3}-4\times 3\sqrt{3}$$

Multiply -4 and 3 to get -12.

$$6\sqrt{3}-12\sqrt{3}$$

Combine 6\sqrt{3} and -12\sqrt{3} to get -6\sqrt{3}.

$$-6\sqrt{3}$$