5+ radical 7 over 5- radical 7 is equivalent to what?

Answer 1

Let's take a look at how to solve these kinds of problems.

I'm assuming the problem is this:

5 + √7
------
5 - √7

Multiply both top and bottom by the equivalent of 1 to get rid of the radical in the denominator:

(5 + √7)(5 + √7)
----------------
(5 - √7)(5 + √7)

Let's multiply using FOIL:

25 + 5√7 + 5√7 + 7
------------------
25 + 5√7 - 5√7 - 7

Combine like terms:

32 + 10√7
---------
18

Factor out 2 from both the top and bottom:

2(16 + 5√7)
-----------
2(9)

Cancel out the 2 from top and bottom.

We end up with this:

16 + 5√7
--------
9

And there you have it!

I hope this helped.