Question

Calculati: a) 3√150 (6√98-8√50-7√108+10√48) + 4√54 (3√192-8√72-4√75+11√32)=

Answer 1

a) 3√150 (6√98-8√50-7√108+10√48) + 4√54 (3√192-8√72-4√75+11√32)=
= 15√6 (42√2-40√2-42√3+40√3) + 12√6 (24√3-48√2-20√3+44√2)=
= 15√6 (2√2-2√3) + 12√6 (4√3-4√2)=
= 30√6 (√2-√3) + 48√6 (√3-√2)=
= -30√6 √3-√2) + 48√6 (√3-√2)=
= (√3-√2)(-30√6  + 48√6)=
= (√3-√2) *18√6)=
=18√18-18√12=
=18(3√2-2√3)