What is (5+square root of 3)(4-2square root of 3)?

1 Answer
Kha L.
Jul 30, 2018

14-6sqrt3

Explanation:

We use the FOIL method to multiply these two expressions.

This means first multiply the terms which occur first in each expression i.e. 5 and 4.
Next, we multiply the innermost terms i.e. sqrt3 and 4.
Then, we multiply the outermost terms i.e. 5 and -2sqrt3.
Finally, we multiply the terms that occur last in each expression i.e. sqrt3 and -2sqrt3, and add them all up.

(5+sqrt3)(4-2sqrt3)
=20+4sqrt3-10sqrt3-6
=14-6sqrt3

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1903 views around the world
You can reuse this answer
Creative Commons License