How do you solve this problem? The question is attached as an image.

Question

anonymous · Answer

attachment

myininaya · Answer

Combine those fractions as a first step.

anonymous · Answer

i got (1-sqrt(1+t)) / (tsqrt(1+t))

myininaya · Answer

then I would rationalize the numerator
doing that will give you a factor of t on top
and you will able to cancel the factor of t on bottom which is making the bottom 0 presently

anonymous · Answer

for the numerator i got -t but i'm having trouble multiplying the denominator. i got tsqrt(1+t) + t(1+t)

anonymous · Answer

is that right?

myininaya · Answer

don't multiply the bottom out

myininaya · Answer

$$\frac{-t}{t \sqrt{1+t} (1+\sqrt{1+t})}$$
though you could

myininaya · Answer

it just seems to be a little more work than needed

myininaya · Answer

now you can cancel the t/t thing

myininaya · Answer

and you are read because you no longer have 0/0

myininaya · Answer

ready*

myininaya · Answer

$$\frac{-1}{\sqrt{1+t}(1+\sqrt{1+t})}$$

anonymous · Answer

okay i got -1/ [(sqrt(1) +1)]

myininaya · Answer

ok which equals...

myininaya · Answer

sqrt(1)=1
so you have -1/?

anonymous · Answer

it's okay the computer already accepted that as the answer.

anonymous · Answer

thank you though!!

myininaya · Answer

lol ok -1/2 works too