Question

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

Answer 1

Combine those fractions as a first step.

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

is that right?

Answer 6

don't multiply the bottom out

Answer 7

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

Answer 8

it just seems to be a little more work than needed

Answer 9

now you can cancel the t/t thing

Answer 10

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

Answer 11

ready*

Answer 12

\[\frac{-1}{\sqrt{1+t}(1+\sqrt{1+t})}\]

Answer 13

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

Answer 14

ok which equals...

Answer 15

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

Answer 16

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

Answer 17

thank you though!!

Answer 18

lol ok -1/2 works too