By what factor must you multiply a number in order to triple its square root?

To solve the problem shown above you must apply the following proccedure:

 1. Let's call:

 x: a number.
 f: the factor.

 2. Then, you have:

 √fx=3√x

 3. You must clear the factor "f" to calculate its value, as below:

 √fx=3√x
 (√fx)²=(3√x)²
 fx=9x
 f=9x/x

 4. Then, the factor is:

 f=9

 5. Therefore, by what factor must you multiply a number in order to triple its square root?

 The answer is: 9