Square Roots of Perfect Squares
Square Roots of Perfect Squares
Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
  • Identify perfect square numbers with ease

  • Evaluate square roots without a calculator

  • Understand how simplified square roots fit into the number system

  • Build a strong base for future topics like Pythagorean Theorem, quadratic equations, and irrational numbers

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Worksheet Description: Square Roots of Perfect Squares (Grade 8)

Hey there, math explorers!

Ready to dive into the world of square roots?

This Grade 8 math worksheet is your passport to mastering the square roots of perfect squares—a key topic in your real numbers unit. Whether you're prepping for a quiz or just want to boost your number sense, this fun and focused activity will help you confidently evaluate square roots using logic, memory, and simple math tricks.

 What’s This Worksheet All About?

This worksheet focuses on simplifying square roots, specifically those of perfect squares—numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 that have whole-number square roots. You'll get comfortable recognizing these perfect square numbers, which is a must-know skill when dealing with real and rational numbers in algebra and geometry.

 Solved Example (So You Know What to Do!)

Let’s solve one just like in your sheet:

What is √100?
We know that 10 × 10 = 100
So, √100 =  10
Easy, right?

Now it’s your turn to evaluate square roots of other perfect squares—like √1, √49, or even √121!

Whether you're working from a square root chart or solving mentally, you’ll feel like a square root superhero by the end of this sheet.

So sharpen your pencils, power up your brain, and get ready to simplify square roots like a math superhero! 

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