Question

What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3

Answer 1

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

Answer 2

`10√(14) +8√(21) + 30√(3) +36√(2)\\`

Explanation:

`(2√(7) + 3√(6) )(5√(2) +4√(3) )\\= 10√(14) +8√(21) + 15√(12) +12√(18) \\=10√(14) +8√(21) + 15√(4*3) +12√(9*2) \\= 10√(14) +8√(21) + 15*2√(3) +12*3√(2) \\=10√(14) +8√(21) + 30√(3) +36√(2) \\\\`

Hope this helps!