Question

Between what two integers is the LaTeX: \sqrt{5}

√
5
?

1 and 2
5 and 6
2 and 3
0 and 2

Answer 1

2 and 3

Explanation:

5 in relation to the closest square numbers is ...

4 < 5 < 9

√4 < √5 < √9

2 < √5 < 3

√5 is between 2 and 3.

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In case you're not familiar with square numbers (up to 20 or 25), you can use your calculator. It will tell you ...

√5 ≈ 2.23607

This is a number that is clearly between 2 and 3.