## burhan101 3 years ago Limits

1. burhan101

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

2. burhan101

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

3. ksaimouli

what about rationalizing the denominator

4. burhan101

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

5. burhan101

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. burhan101

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

not quite right

10. satellite73

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

11. satellite73

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

12. ksaimouli

so what i steh answer

13. burhan101

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

14. burhan101

ohh because it's the denominator ?

15. ksaimouli

yup

16. ksaimouli

to cancel the square root