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

Mar 14, 2018

$35 - 12 \sqrt{3}$

#### 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:
$8 \times 4 = 32$
$8 \times \left(- \sqrt{3}\right) = - 8 \sqrt{3}$
$\left(- \sqrt{3}\right) \times 4 = - 4 \sqrt{3}$
$\left(- \sqrt{3}\right) \times \left(- \sqrt{3}\right) = 3$

Then you can collect like terms and simplify:
$32 + 3 - 8 \sqrt{3} - 4 \sqrt{3} = 35 - 12 \sqrt{3}$