Square Number — 6² = 36 — free printable diagram

Free maths resource for teachers · CC BY-NC 4.0

Square Number — 6² = 36

About this illustration

Visual representation of the square number 6² = 36 as a 6×6 grid of 36 navy dots. For teaching square numbers, exponents, perfect squares.

What is 6 squared?

6 squared is 36. Squaring a number means multiplying it by itself, so 6² = 6 × 6 = 36. Read the other way round, the square root of 36 is 6.

Calculation
6² = 6 × 6
Answer
36
In words
thirty-six
Square root
√36 = 6
Position
the 6th square number
  • Squaring means multiplying a number by itself, so 6² = 6 × 6 = 36.
  • 36 is called a square number because 36 counters can be arranged in a perfect square of 6 rows with 6 in each row.
  • The opposite of squaring is taking the square root, so √36 = 6.
  • 6 squared is not 6 × 2. 6 × 2 = 12, but 6² = 36.
  • Each square number is the odd numbers added up in order: 36 − 25 = 11, so the gap from 25 to 36 is 11.

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  2. 2Use it in your classroom worksheets, slides or printables — free under CC BY-NC 4.0.
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