# How do you rationalize the numerator and simplify #[(1/sqrtx)+9sqrtx]/(9x+1)#?

##### 1 Answer

The result is

The reason is the following:

1st) You have to rationalize

2nd) Now, you make "x" the common denominator of the numerator as follows:

3rd) Now, you pass the intermediate "x" to the denominator:

4th) Now, you take common factor

5th) And, finally, you simplify the factor (9x+1) appearing both in the numerator and the denominator: