Free Estimating Square Roots Review Questions for Grade 8

📚 Quick Study Guide

• 🍎 Perfect Squares: Numbers that are the result of squaring a whole number (e.g., 1, 4, 9, 16, 25, etc.).
• 💡 Estimating Square Roots: Finding the nearest whole number whose square is close to the number under the square root.
• 🔢 Steps for Estimation:
  1. Find the two perfect squares the number falls between.
  2. Determine which perfect square it's closer to.
  3. The square root of that perfect square is your estimated square root.
• ➕ Example: Estimate $\sqrt{28}$. It falls between $\sqrt{25}$ (which is 5) and $\sqrt{36}$ (which is 6). Since 28 is closer to 25, the estimated square root is approximately 5.
• ✍️ Important Note: Estimation provides an approximate value, not the exact square root.

🧪 Practice Quiz

1. What is the estimated square root of 10?
1. 3
2. 4
3. 5
4. 2
2. Which perfect square is closest to 18?
1. 9
2. 16
3. 25
4. 4
3. Estimate $\sqrt{40}$.
1. 5
2. 6
3. 7
4. 8
4. Which of the following is the best estimate for $\sqrt{8}$?
1. 1
2. 2
3. 3
4. 4
5. What is the estimated value of $\sqrt{65}$?
1. 6
2. 7
3. 8
4. 9
6. Which number is $\sqrt{12}$ closest to?
1. 2
2. 3
3. 4
4. 5
7. Estimate $\sqrt{90}$.
1. 7
2. 8
3. 9
4. 10