The value of $\sqrt{23}$ lies between two consecutive integers. Let's find which two integers this square root is between.

Step 1: Find the nearest perfect squares around 23.

• $\sqrt{16} = 4$ (since $16 = 4^2$)
• $\sqrt{25} = 5$ (since $25 = 5^2$)

Step 2: Conclude the range.

Since $23$ is between $16$ and $25$, we know: $4 < \sqrt{23} < 5$

Thus, the value of $\sqrt{23}$ is between 4 and 5.

Would you like to explore this further or have any other questions?

Related Questions:

1. How can you estimate square roots of non-perfect squares?
2. What are some ways to approximate square roots without a calculator?
3. What are perfect squares and why are they useful?
4. How do you find the square root of decimals or fractions?
5. How is the square root related to exponents?

Tip: Estimating square roots can often be done by finding nearby perfect squares and using them as a reference point!