Question

multiply.
\sqrt{7}(\sqrt{3} - 12)
simplify your answer as much as possible.

Explanation:

Step1: Simplify √12

First, we simplify the square root of 12. We know that 12 can be factored into 4 3, and √(43) = √4 * √3 = 2√3. So the expression becomes 7(√3 - 2√3).

Step2: Combine like terms inside the parentheses

Now, we combine the like terms inside the parentheses. √3 - 2√3 = (1 - 2)√3 = -√3. So the expression is now 7*(-√3).

Step3: Multiply 7 and -√3

Multiplying 7 and -√3 gives us -7√3.

Answer:

\boxed{-7\sqrt{3}}