# How would you simplify (sqrt6 - 4 sqrt 7)(3 sqrt 6 + 2 sqrt7) ?

$\left(\sqrt{6} - 4 \sqrt{7}\right) \left(3 \sqrt{6} + 2 \sqrt{7}\right) = 3 \sqrt{6} \sqrt{6} + 2 \sqrt{6} \sqrt{7} - 12 \sqrt{7} \sqrt{6} - 8 \sqrt{7} \sqrt{7} = 18 - 10 \sqrt{6} \sqrt{7} - 56 = - 38 - 10 \sqrt{6} \sqrt{7} = - 38 - 10 \sqrt{42} =$