### Instruction: How many integers fall between $\sqrt5$ and $\sqrt{50}$ on a number line?### Response: I know that $\sqrt5$ is between 2 and 3, because $2^2 = 4$ and $3^2 = 9$.
Similarly, I know that $\sqrt{50}$ is between 7 and 8, because $7^2 = 49$ and $8^2 = 64$.
So, the integers that fall between $\sqrt5$ and $\sqrt{50}$ are 3, 4, 5, 6, and 7.
That's five integers.