How do you multiply #(sqrt(7) - sqrt(2))(sqrt(4) + sqrt(3))#?

1 Answer
Aug 11, 2017

Answer:

See a solution process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

#(color(red)(sqrt(7)) - color(red)(sqrt(2)))(color(blue)(sqrt(4) + color(blue)(sqrt(3))))# becomes:

#(color(red)(sqrt(7)) xx color(blue)(sqrt(4))) + (color(red)(sqrt(7)) xx color(blue)(sqrt(3))) - (color(red)(sqrt(2)) xx color(blue)(sqrt(4))) - (color(red)(sqrt(2)) xx color(blue)(sqrt(3)))#

#2sqrt(7) + sqrt(21) - 2sqrt(2) - sqrt(6)#

#2sqrt(7) - 2sqrt(2) + sqrt(21) - sqrt(6)#