(1/2√6-3√3+5√2-√8)*√24+18√2-12√3=?

Question

(1/2√6-3√3+5√2-√8)*√24+18√2-12√3=?

Answer 1

= 1/2√6*24 - 3√3*24 +5√2*24 - √8*24 +18√2 -12√3 = 1/2√2*3*3*8 - 3√3*3*4*2 +5√2*8*3 - √8*8*3 +18√2 - 12√3 = 1/2*4*3 -3*3*2√2 +5*4√3 - 8√3 +18√2 -12√3 =
= 6 - 18√2 +20√3 - 20√3 +18√2 = 6