Question

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

Answer 1

x is a multiple of 19

Explanation:

Given is a square root as

`√(19x)`

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.