Question

Rationalize-Easy Algebra

Answer 1

Rationalize. I know the bottom. But the top! How do you simplify it to -T???????

Answer 2

I don't think the denominator of the original problem is \(t\sqrt{1+t}\) , please check

Answer 3

My bad....

Answer 4

May be we have to apply L'hopital rule. hihihihi. not sure. Let's wait for @ganeshie8

Answer 5

im thinking of getting a common denominator and then try rationalizing the numerator

Answer 6

http://www.webassign.net/v4cgi/extra/bc_enhanced/index.tpl?asset=watch_it_player&asset_url=/bc_enhanced/scalc7_w_player/scalcet6_02_03_029.html&UserPass=5da8feb57a3639e36e92f7c4805ec132

Answer 7

\[\large \lim \limits_{t \to 0} ~\dfrac{3}{t\sqrt{1+t}} - \dfrac{3}{t} = \lim \limits_{t \to 0} ~\dfrac{3}{t}\left(\dfrac{1}{\sqrt{1+t}} - \dfrac{1}{1}\right)\\ \large = \lim \limits_{t \to 0} ~\dfrac{3}{t}\left(\dfrac{1-\sqrt{1+t}}{\sqrt{1+t}} \right) \]

Answer 8

rationalize the numerator - multiply and divide by the conjugate of numerator ^

Answer 9

OOPS 1+t not 1-t hihihi,. I am sorry misread

Answer 10

Thanks man! Nice!

Answer 11

so, it is not right. hehehe.. My bad

Answer 12

No, that was the ansewer. Internet took it.

Answer 13

Yup, just change - to + , the result is the same.