Question

which two integers is between square root 13 explain the steps

Answer 1

We want integers n and n+1 with n^2 < 13 < (n+1)^2.

Check nearby squares:
- 3^2 = 9 and 4^2 = 16.
Since 9 < 13 < 16, taking positive square roots gives
3 < √13 < 4.

So √13 lies between the integers 3 and 4. (For reference, √13 ≈ 3.6056.)