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

1 Answer
Jul 30, 2018

Answer:

#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#