How do you simplify (sqrt2-3)(sqrt6+5)?

1 Answer
smendyka
Jul 15, 2017

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(2)) - color(red)(3))(color(blue)(sqrt(6)) + color(blue)(5)) becomes:

(color(red)(sqrt(2)) xx color(blue)(sqrt(6))) + (color(red)(sqrt(2)) xx color(blue)(5)) - (color(red)(3) xx color(blue)(sqrt(6))) - (color(red)(3) xx color(blue)(5))

sqrt(color(red)(2) * color(blue)(6)) + 5sqrt(2) - 3sqrt(6) - 15

sqrt(12) + 5sqrt(2) - 3sqrt(6) - 15

sqrt(4 * 3) + 5sqrt(2) - 3sqrt(6) - 15

sqrt(4)sqrt(3) + 5sqrt(2) - 3sqrt(6) - 15

2sqrt(3) + 5sqrt(2) - 3sqrt(6) - 15

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