This is MJMATH, good morning to you.

How would I use rationalization to simplify the expression;

9t2
---------------------
t + 2 - 2 √ t + 1

Note: above the line = 9 t squared
below the line = t + 2 - 2 ( the square root of t + 1).

Thank you

Question

This  is  MJMATH,  good morning  to  you.

How would I use rationalization to simplify the expression;

9t2
---------------------
 t + 2 - 2 √ t + 1

Note: above the line = 9 t squared
below the line = t + 2 - 2 ( the square root of  t + 1).

Thank you

anonymous · Answer

What exactly are you looking to do? You can rationalize the function by multiplying the top and bottom by the radical of the bottom ( (t+2)+2[(t+1)^(1/2)]  ), but to be quite frankly honest, it doesn't really give you a better looking or more simple answer. By rationalizing the function, I mean moving the radical from the bottom to the top.

shadowfiend · Answer

Hm. I think it's better looking. Doesn't the denominator disappear altogether?

anonymous · Answer

Oh wait, you're right, I didn't distribute the 4 properly

anonymous · Answer

and I meant to say the conjugate of the bottom, not the radical