Skill: Estimate square roots between consecutive integers

To estimate $\sqrt{m}$ between consecutive integers:

1. Find a perfect square less than $m$.
2. Find the next perfect square greater than $m$.
3. Use their square roots as the bounds.

Example: Estimate $\sqrt{50}$

Find the consecutive perfect squares around $50$:

$$7^2=49$$

and

$$8^2=64$$

Since

$$49<50<64,$$

we can take the square root of each part:

$$\sqrt{49}<\sqrt{50}<\sqrt{64}.$$

Therefore,

$$\boxed{7<\sqrt{50}<8}.$$

So, $\sqrt{50}$ is between $7$ and $8$. It is not a whole number because $50$ is not a perfect square. On a number line, place $\sqrt{50}$ somewhere between $7$ and $8$.