Final answer:
To distribute and simplify the radicals, multiply each term inside the parentheses by the numbers outside. Combine like terms to simplify further.
Step-by-step explanation:
To distribute and simplify the radicals, we need to multiply both terms inside the parentheses by the numbers outside the parentheses.
(√12+6)(-8-2) = -8√12 - 2√12 - 48 - 12
To simplify, we combine like terms.
-8√12 - 2√12 - 48 - 12 = -10√12 - 60
Since 12 is a perfect square with a factor of 2, we can simplify further.
-10√12 - 60 = -10(√4 * √3) - 60 = -10(2√3) - 60 = -20√3 - 60.