SOLUTION: how do you solve this : 1 / square root of 3x squared -5

Algebra ->  Radicals -> SOLUTION: how do you solve this : 1 / square root of 3x squared -5       Log On


   

Question 234517: how do you solve this : 1 / square root of 3x squared -5
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
We have 1/(sqrt{3x - 5}).
You have to multiply the top and bottom by sqrt{3x + 5}.
I will set it up and you can finish.
1/(sqrt{3x - 5}) times (sqrt{3x + 5})/(sqrt{3x + 5})
Can you finish now?
====================================================
To answer your questions concerning (-25).

The answer to your question is no.
When multiplying two radicals, the radicals are removed.
Your denominator is sqrt{3x - 5) times sqrt{3x + 5}.
That simply becomes 9x^2 - 25.