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solmaris [256]
3 years ago
9

If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole

number?
Mathematics
2 answers:
DiKsa [7]3 years ago
7 0

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

Novosadov [1.4K]3 years ago
5 0

Answer:

B: 3

Step-by-step explanation:

edg 2020

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