Question

square roots
95 90%
√13 = ?
betweens
1&2 2&3 3&4 4&5 5&6 6&7 7&8 8&9 9&10
0 1 2 3 4 5 6 7 8 9 10 11

Explanation:

Step1: Recall square values

We know that $3^2 = 9$ and $4^2 = 16$.

Step2: Compare with 13

Since $9 < 13 < 16$, taking square roots (which is a monotonic function for non - negative numbers), we get $\sqrt{9}<\sqrt{13}<\sqrt{16}$, that is $3 < \sqrt{13}<4$. So $\sqrt{13}$ is between 3 and 4.

Answer:

The value of $\sqrt{13}$ is between 3 and 4 (from the "Betweens" section, the interval is $3\&4$).