How do you simplify (4sqrt11 - 2sqrt2)(6sqrt11+ 8sqrt2)?

1 Answer
Feb 17, 2017

232+20sqrt(22)

Explanation:

Remember: sqrt(m) sqrt(m) = m and sqrt(m) sqrt(n) = sqrt(mn)

Use the foil technique to distribute:

4sqrt(11) (6sqrt(11)) + 4 sqrt(11)(8 sqrt(2)) -2sqrt(2)(6sqrt(11)) -2sqrt(2)(8sqrt(2))

= 24(11)+32(sqrt(22)) -12sqrt(22) - 16(2)

= 232 +20sqrt(22)