Answer:
x is a multiple of 19
Step-by-step explanation:
Given is a square root as
[tex]\sqrt{19x}[/tex]
We know that 19 is prime and has factors only as itself and 1
Factors of 19 are 19 and 1
If square root term is to be simplified there must be atleast one factor which is repeated twice.
In 19x, since 19 is prime if we want a factor to be repeated then it can be 19
This is possible only if x is a multiple of 19
Hence answer is whenever x = 19m for some natural number m, we can simplify the square root sign.
