Question

Okay so I’m doing this assignment and I’m stuck on this question

Answer 1

For this problem, we are given a certain fraction, and we need to rationalize and simplify it, so we can find the equivalent expression.

The original fraction is given below:

`(√(12))/(√(3)-3)`

We need to multiply both the denominator and numerator by sqrt(3) + 3. We have:

`\begin{gathered} (√(12))/(√(3)-3)\cdot(√(3)+3)/(√(3)+3)\\ \\ (√(12)√(3)+3√(12))/((√(3))^2-9)\\ \\ (√(3\cdot4)√(3)+3√(3\cdot4))/(-6)\\ \\ (2\cdot3+6√(3))/(-6)\\ \\ (6+6√(3))/(-6)\\ \\ -1-√(3) \end{gathered}`

The correct answer is C