45 squared

45² = 45 × 45 = 2,025

To square a number, multiply it by itself. 45 squared is written 45² or 45^2, and the answer is 2,025.

How to work out 45 squared

Direct: 45 × 45 = 2,025.
From the previous square: 44² = 1,936, and 45² = 1,936 + (2 × 45 − 1) = 1,936 + 89 = 2,025.
Split the number: 45 = 40 + 5, so 45² = 40² + 2 × 40 × 5 + 5² = 1,600 + 400 + 25 = 2,025.

Related

45 cubed = 91,125
The square root of 2,025 is 45, so 2,025 is a perfect square.

Squares near 45

Number	Squared
41	1,681
42	1,764
43	1,849
44	1,936
46	2,116
47	2,209
48	2,304
49	2,401

Need another number? Use the exponent calculator or see all squares and cubes.