How would you simplify #(2 sqrt 7 - 4 sqrt3)(4 sqrt 7 + 8 sqrt3)#?

1 Answer
Feb 18, 2016

Answer:

-40

Explanation:

#(2sqrt(7)-4sqrt(3))(4sqrt(7)+8sqrt(3))#

You have to use the distributive operation of multiplication:

#2sqrt(7)xx4sqrt(7)+2sqrt(7)xx8sqrt(3)-4sqrt(3)xx4sqrt(7)-4sqrt(3)xx8sqrt(3)#

=#2xx4xx7+2xx8xxsqrt(7)xxsqrt(3)-4xx4xxsqrt(3)xxsqrt(7)-4xx8xx3#

=#56+16sqrt(21)-16sqrt(21)-96=-40#