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Which of the following is a possible value of k for which K
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24 Mar 2020, 06:39
24 Mar 2020, 06:39
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Question Stats:
78% (00:34) correct
21% (00:37) wrong based on 56 sessions
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Which of the following is a possible value of k for which \(\frac{-24}{\sqrt{k}}\) is an integer ?
Indicate all possible choices.
A. 9
B. 12
C. 16
D. 25
E. 64
Kudos for the right answer and explanation
Indicate all possible choices.
A. 9
B. 12
C. 16
D. 25
E. 64
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following is a possible value of k for which K
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16 Apr 2020, 10:08
16 Apr 2020, 10:08
1
Carcass wrote:
Which of the following is a possible value of k for which \(\frac{-24}{\sqrt{k}}\) is an integer ?
Indicate all possible choices.
A. 9
B. 12
C. 16
D. 25
E. 64
Indicate all possible choices.
A. 9
B. 12
C. 16
D. 25
E. 64
Let's test each answer choice individually
A. 9. We get: \(\frac{-24}{\sqrt{k}}=\frac{-24}{\sqrt{9}}=\frac{-24}{3}=-8\) WORKS!!
B. 12. We get: \(\frac{-24}{\sqrt{k}}=\frac{-24}{\sqrt{12}}=\frac{-24}{2\sqrt{3}}=\frac{-12}{\sqrt{3}}\) not an integer
C. 16. We get: \(\frac{-24}{\sqrt{k}}=\frac{-24}{\sqrt{16}}=\frac{-24}{4}=-6\) WORKS!!
D. 25. We get: \(\frac{-24}{\sqrt{k}}=\frac{-24}{\sqrt{25}}=\frac{-24}{5}=-4.8\) not an integer
E. 64. We get: \(\frac{-24}{\sqrt{k}}=\frac{-24}{\sqrt{64}}=\frac{-24}{8}=-3\) WORKS!!
Answer: A, C, E
Cheers,
Brent
Re: Which of the following is a possible value of k for which K
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06 May 2020, 02:15
06 May 2020, 02:15
1
The square root value of k should be a factor of 24.
Therefore correct options are A, C, E.
Therefore correct options are A, C, E.
