Simplify. Rationalize the denominator. \( \frac{-6}{\sqrt{3}-\sqrt{5}} \)

What is the absolute value of \( 2-i \) ? A. 2 B. \( \sqrt{3} \) C. \( \sqrt{5} \) D. \( 2+i \) E. \( -2+i \)

Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.) \[ (1,7) \text { and }(2,12) \]

1. \( l(x)=\log _{(x-2)}(7-x) \) lonksiyonunun en geniş tanım aralı(gı aşağıdakiler hangisidir? \( \begin{array}{lll}\text { A) } x>2 & \text { B) } 2<x<7 & \text { C) } x \geq 7\end{array} \)

3 Consider the product \( \left(1+\frac{1}{2}\right)\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right) \ldots \) Each factor in the product is of the form \( \left(1+\frac{1}{n}\right) \) for \( n \geq 2 \). Determine ALL the values of \( n \) for which the product will be an integer value.

b) \( \left(\frac{6}{4} \sqrt{48}+\sqrt{75}-\frac{1}{2} \sqrt{12}\right)+\frac{2}{\sqrt{3}}+\frac{4}{\sqrt{27}} \)