For which value of x must the expression square root of 19x be further simplified?

x is a multiple of 19

Step-by-step explanation:

Given is a square root as

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.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

step-by-step :