Question

a) 4√3x(2√75-√27+3√12)-2√3x√48

b) (√243-2√3)x(√127)+3√8x(5√72+6√128)

Answer 1

a) 4√3 (2√75 - √27 + 3√12) - 2√3 * √48 =
= 4√3 (2*5√3 - 3√3 + 3*2√3) - 2√3 * 4√3
= 4√3 (10√3 - 3√3 + 6√3) - 8 * 3
= 4√3 (7√3 + 6√3) - 24
= 4√3 * 13√3 - 24
= 52 * 3 - 24
= 156 - 24
= 132.

b) (9√3 - 2√3) * √128 + 3*2√2 (5 * 6√2 + 6 * 8√2) =
= 7√3 * √128 + 6√2 (30√2 + 48√2)
= 7 * 8√6 + 6√2 * 78√2
= 48√6 + 936.