Question

5(4√3-3√5)-2(2√3+4√5)+2(3√3+6√5)

Answer 1

$5(4 \sqrt{3} - 3 \sqrt{5}) - 2(2 \sqrt{3} + 4 \sqrt{5}) + 2(3 \sqrt{3} + 6 \sqrt{5}) = \\ \\ 20 \sqrt{3} - 15 \sqrt{5} - 4 \sqrt{3} - 8 \sqrt{5} + 6 \sqrt{3} + 12 \sqrt{5} = \\ \\ (20 \sqrt{3} - 4 \sqrt{3} + 6 \sqrt{3}) + ( - 15 \sqrt{5} - 8 \sqrt{5} + 12 \sqrt{5}) = \\ \\ (20 - 4 + 6) \sqrt{3} + ( - 15 - 8 + 12) \sqrt{5} = \\ \\ (22 \sqrt{3}) + ( - 11 \sqrt{5}) = \\ \\ 22 \sqrt{3} - 11 \sqrt{5}$

Answer 2

= 20√3−15√5−4√3−8√5+6√3+12√5=

= 16√3−23√5+6√3+12√5=

= 22√3−11√5