How do you simplify (2sqrt7+ sqrt3)(3sqrt7 + √2)?

1 Answer
Oct 13, 2017

14+2sqrt14+3sqrt21+sqrt6

Explanation:

(color(red)(2sqrt7)+color(green)(sqrt3))(color(blue)(3sqrt7)+color(orange)(sqrt2))

Multiply every term in the first brackets to every term in the second bracket.

=color(red)(2sqrt7)*color(blue)(3sqrt7)+color(red)(2sqrt7)color(orange)(sqrt2)+color(blue)(3sqrt7)color(green)(sqrt3)+color(orange)(sqrt2)color(green)(sqrt3)

=6times7+2sqrt(7times2)+3sqrt(7times3)+sqrt(2times3)

=42+2sqrt14+3sqrt21+sqrt6

As there are no like terms, this is the final answer uarr.