## burhan101 Group Title Limits one year ago one year ago

1. burhan101 Group Title

$\lim_{x \rightarrow 2} \frac{ x^2-4 }{ \sqrt{x-2} }$

2. burhan101 Group Title

without making the squareroot into an exponent how would i solve ?

3. ksaimouli Group Title

4. burhan101 Group Title

can you please explain that to me? i honestly don't see it

5. burhan101 Group Title

the square root is complicating it for me

6. ksaimouli Group Title

|dw:1350435858610:dw|

7. ksaimouli Group Title

but the exponential form is the best way to do it

8. burhan101 Group Title

ohh we cant do that .. i did that too but my teacher said that since they are not binomials we cannot multiply by the conjugates

9. satellite73 Group Title

not quite right

10. satellite73 Group Title

rationalize the denominator in this case means multiply top and bottom by $\sqrt{x-2}$

11. satellite73 Group Title

your denominator will be $$x-2$$ which will cancel with on of the factors in the numerator

12. ksaimouli Group Title

13. burhan101 Group Title

i dont get it, why would you multiply top ad bottom by the square root ?

14. burhan101 Group Title

ohh because it's the denominator ?

15. ksaimouli Group Title

yup

16. ksaimouli Group Title

to cancel the square root