Question

Simplify(8root2+3root5)(3root2-6root3)

Answer 1

$(8 \sqrt{2} + 3 \sqrt{5} )(3 \sqrt{2} - 6 \sqrt{3} ) \\ \\ = 8 \sqrt{2} (3 \sqrt{2} - 6 \sqrt{3} ) + 3 \sqrt{5} (3 \sqrt{2} - 6 \sqrt{3} ) \\ \\ = 48 - 48 \sqrt{6} + 9 \sqrt{10} - 18 \sqrt{15} \\ \\ = - 110.82$

hope it helps.

Answer 2

(8√2 + 3√5) (3√2 - 6√3)

= 8√2 (3√2 - 6√3) +3√5 (3√2 - 6√3)

= 48 - 48√6 + 9√10 - 18√15

Hope that helps.