How do you simplify #(2 sqrt(7) + sqrt(3)) times (3 sqrt(7) - sqrt(2))#?

1 Answer
Sep 4, 2016

Answer:

The value is #42-2sqrt(14)+3sqrt(21)-sqrt(6)#

Explanation:

#(2sqrt(7)+sqrt(3))xx(3sqrt(7)-sqrt(2))#
#=6*7-2sqrt(7)sqrt(2)+3sqrt(7)sqrt(3)-sqrt(2)sqrt(3)#
#=42-2sqrt(14)+3sqrt(21)-sqrt(6)#

In these calculations I used the following properties of square roots:

  1. #sqrt(a*b)=sqrt(a)*sqrt(b)#

  2. #sqrt(a*a)=a#