Solve frac{-12sqrt{2}(3-sqrt{2})}{6}

$$\frac { - 12 \sqrt { 2 } ( 3 - \sqrt { 2 } ) } { 6 }$$

Evaluate

$$4-6\sqrt{2}\approx -4.485281374$$

Solution Steps

Use the distributive property to multiply -12\sqrt{2} by 3-\sqrt{2}.

$$\frac{-36\sqrt{2}+12\left(\sqrt{2}\right)^{2}}{6}$$

The square of \sqrt{2} is 2.

$$\frac{-36\sqrt{2}+12\times 2}{6}$$

Multiply 12 and 2 to get 24.

$$\frac{-36\sqrt{2}+24}{6}$$