At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive precise answers from experienced professionals across different disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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 :

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]