Question

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

Answer 1

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)`