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

1 Answer
marfre
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)#

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