Question

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

2
3
6
10

Answer 1

3 、 12 、48 if x=3 the reault is 4,if x=12,the result is 2，if x=48,the result is 1.

Answer 2

There are 3 different values.

Explanation:

Given expression is,

`\sqrt{(48)/(x)}`

Since, factors of 48 are 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus, if x is any positive number,

Then the possible value of x for which
`\sqrt{(48)/(x)}` is a whole number ( all natural numbers included 0 ) are,

3, 12, 48

Hence, there are 3 different values for which
`\sqrt{(48)/(x)}` is a whole number.