Math with Mr. J: Square Roots and Cube Roots

Introduction

• Overview of square roots and cube roots.
• Examples will be provided for better understanding.

Square Roots

Definition

• The square root of a number is the inverse of squaring that number.
• Squaring a number means multiplying it by itself.

Example 1: Square Root of 36

• 6 squared: 6 x 6 = 36.
• Square root of 36: What number multiplied by itself equals 36?
  • Answer: 6 (since 6 x 6 = 36).
  • Conclusion: Square root of 36 = 6.

Example 2: Square Root of 49

• Square root of 49: What number multiplied by itself equals 49?
  • Answer: 7 (since 7 x 7 = 49).
  • Conclusion: Square root of 49 = 7.

Cube Roots

Definition

• The cube root of a number is the inverse of cubing that number.
• Cubing a number means multiplying that number by itself three times.

Example 3: Cube Root of 64

• 4 cubed: 4 x 4 x 4 = 64.
• Cube root of 64: What number multiplied by itself three times equals 64?
  • Answer: 4 (since 4 x 4 x 4 = 64).
  • Conclusion: Cube root of 64 = 4.

Example 4: Cube Root of 27

• Cube root of 27: What number multiplied by itself three times equals 27?
  • Answer: 3 (since 3 x 3 x 3 = 27).
  • Conclusion: Cube root of 27 = 3.

Recap

• For square roots: Think of what number multiplied by itself equals the number under the root symbol.
• For cube roots: Think of what number multiplied by itself three times equals the number under the cube root symbol.

Conclusion

• Brief overview of square roots and cube roots provided.
• Encouragement to review concepts.
• Thank you for watching!