Answer:
For 3 different values of x
Step-by-step explanation:
Here, we want to get the values of x for which
√(48/x) is a whole number
We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48
Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root
The factors of 48 that can yield a whole number are;
1,2,3,4,6,8,12,16,24 and 48
However, the divisions that can yield a perfect square are
3 (yield 16)
12 ( yield 4)
48 ( yield 1)
So the numbers of the value of x that can yield a whole number is 3
