Solve -2sqrt{2(3)^2}

$$- 2 \sqrt { 2 ( 3 ) ^ { 2 } }$$

Evaluate

$$-6\sqrt{2}\approx -8.485281374$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-2\sqrt{2\times 9}$$

Multiply 2 and 9 to get 18.

$$-2\sqrt{18}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

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

Multiply -2 and 3 to get -6.

$$-6\sqrt{2}$$