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Which of the following would result in an integer?

a.) [tex]\sqrt{27}[/tex]
b.) [tex]\sqrt{31}[/tex]
c.) [tex]\sqrt{169}[/tex]
d.) [tex]\sqrt{15}[/tex]

Sagot :

GinnyAnswer
To determine which of the given choices results in an integer, let's analyze the square roots of each option.

1. Option a: [tex]\( \sqrt{27} \)[/tex]
[tex]\[\sqrt{27} \approx 5.196\][/tex]
This is not an integer.

2. Option b: [tex]\( \sqrt{31} \)[/tex]
[tex]\[\sqrt{31} \approx 5.568\][/tex]
This is not an integer.

3. Option c: [tex]\( \sqrt{169} \)[/tex]
[tex]\[\sqrt{169} = 13\][/tex]
This is an integer.

4. Option d: [tex]\( \sqrt{15} \)[/tex]
[tex]\[\sqrt{15} \approx 3.873\][/tex]
This is not an integer.

Thus, the square root of 169 is the only value that results in an integer. Therefore, the correct answer is:

c.) [tex]\( \sqrt{169} \)[/tex]
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