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Square numbers

A square number is a number multiplied by itself (a number 'squared'; the symbol for squared is 2):

  • 12 = 1 x 1 = 1

  • 22 = 2 x 2 = 4

  • 32 = 3 x 3 = 9

  • 42 = 4 x 4 = 16

They're called square numbers because they can be made into square shapes.

The square numbers up to 100 are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Square roots

The square root of a number is the number you must multiply by itself to get to it. The symbol for square root is

Square root symbol

To find the square root of 49 think, "What number multiplied by itself gives 49?" The answer is 7, because 7 x 7 = 49.

Square root of the number 49

More from Number patterns:

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