michaelandrews2001
michaelandrews2001 2d ago • 10 views

Free Estimating Square Roots Review Questions for Grade 8

Hey there! 👋 Getting ready for your Grade 8 math test on estimating square roots? No sweat! I've got a quick study guide and some practice questions to help you ace it! Let's dive in! 🤿
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shannon.sims Jan 7, 2026

📚 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
Click to see Answers
  1. A
  2. B
  3. B
  4. C
  5. C
  6. B
  7. C

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