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