Solve 2sqrt{6}+6sqrt{2}+12sqrt{2}+2sqrt{6}=?

$$2 \sqrt { 6 } + 6 \sqrt { 2 } + 12 \sqrt { 2 } + 2 \sqrt { 6 } = ?$$

Evaluate

$$2\sqrt{2}\left(2\sqrt{3}+9\right)\approx 35.253803094$$

Solution Steps

Combine 6\sqrt{2} and 12\sqrt{2} to get 18\sqrt{2}.

$$2\sqrt{6}+18\sqrt{2}+2\sqrt{6}$$

Combine 2\sqrt{6} and 2\sqrt{6} to get 4\sqrt{6}.

$$4\sqrt{6}+18\sqrt{2}$$

Factor

$$2 \sqrt{2} {(\sqrt{2} \sqrt{6} + 9)} = 35.253803094$$