Question

If x is a positive integer for how many different values of x is 48/X whole number

Answer 1

Answer: 3

Step-by-step explanation:

Given that 'x' is a positive integer. We are to find the number of different values of 'x', the square root of is a whole number.

First, we have to find those values of 'x' for which the given fraction is a square.

Therefore, for 3 values of 'x', the given fraction is a square. So, for those 3 values of 'x', the square root of the fraction will be a whole number.

Thus, the answer is 3.

Answer 2

Factors of 48 : 1,2,3,4,6,8,12,16,24,48....all of these numbers can be subbed in for X to arrive at a whole number....so there are 10 different ways