Overview
This lecture explains the concepts of square roots and cube roots, how to calculate them, and provides basic examples.
Square Roots
- Squaring a number means multiplying it by itself (e.g., 6 × 6 = 36).
- The square root is the inverse of squaring a number.
- The square root of 36 is 6, because 6 × 6 = 36.
- The square root of 49 is 7, because 7 × 7 = 49.
- To find a square root, determine what number times itself equals the target number.
Cube Roots
- Cubing a number means multiplying it by itself three times (e.g., 4 × 4 × 4 = 64).
- The cube root is the inverse of cubing a number.
- The cube root of 64 is 4, because 4 × 4 × 4 = 64.
- The cube root of 27 is 3, because 3 × 3 × 3 = 27.
- To find a cube root, determine what number multiplied by itself three times equals the target number.
Key Terms & Definitions
- Square — a number multiplied by itself (n × n).
- Square Root — the number that, when multiplied by itself, equals the given number.
- Cube — a number multiplied by itself three times (n × n × n).
- Cube Root — the number that, when multiplied by itself three times, equals the given number.
Action Items / Next Steps
- Practice finding square roots and cube roots of other numbers.
- Review the examples for additional understanding.