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Class 8

Chapter 1: A Square and a Cube

The square of a number n is n × n; the cube is n × n × n. The square root undoes squaring, and the cube root undoes cubing. Numbers like 1, 4, 9, 16 are perfect squares; 1, 8, 27, 64 are perfect cubes.

Learning outcomes

  • Compute squares, square roots, cubes and cube roots
  • Reason about perfect squares and cubes

Activities

  • Square-tile and cube-stack investigation

Worked examples

Read through these first, then try the practice below.

  1. Example 1 — Find the square root

    What is the square root of 81?

    Solution: 9 × 9 = 81, so √81 = 9.

  2. Example 2 — Find the cube

    What is 4³?

    Solution: 4 × 4 × 4 = 64.

Self-do practice

Question 1 of 3 · Score 0/0

What is √144?

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