How do you simplify (8-sqrt3)(4-sqrt3) ?

1 Answer
Mar 14, 2018

35 - 12sqrt3

Explanation:

To multiply out this you do the same thing as what you would do with a polynomial. Therefore you need to multiply each term in the bracket by each term in the other bracket:
8 xx 4 = 32
8 xx (-sqrt3) = -8sqrt3
(-sqrt3) xx 4 = -4sqrt3
(-sqrt3) xx (-sqrt3) = 3

Then you can collect like terms and simplify:
32 + 3 - 8sqrt3 - 4 sqrt3 = 35 - 12sqrt3