## anonymous 3 years ago Limits

1. anonymous

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

2. anonymous

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

3. ksaimouli

4. anonymous

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

5. anonymous

the square root is complicating it for me

6. ksaimouli

|dw:1350435858610:dw|

7. ksaimouli

but the exponential form is the best way to do it

8. anonymous

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. anonymous

not quite right

10. anonymous

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

11. anonymous

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

12. ksaimouli

13. anonymous

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

14. anonymous

ohh because it's the denominator ?

15. ksaimouli

yup

16. ksaimouli

to cancel the square root