What is 1.41421356?

1.41421356 is a special number that helps us understand something fun about squares and measuring.

Imagine you have a square tile on the floor, like the tiles in your kitchen or playground. Each side of the tile is 1 foot long, so the whole tile covers an area of 1 square foot. Now, if you want to know how long the diagonal (the line from one corner to the opposite corner) of that tile is, you need a special number.

That's where 1.41421356 comes in! It’s very close to the length of the diagonal of a square with sides 1 foot long. If you measure it exactly, it would be just about this number, and we call that number the square root of 2, or √2.

Why is it special?

It's not like other numbers because if you multiply it by itself (1.41421356 × 1.41421356), you get very close to 2, just like the area of a square with sides that are √2 long.

This number is useful in many places, like when building things or designing games, where knowing diagonals helps make things fit better!

Take the quiz →

Examples

  1. A baker divides a square cake into two equal parts and measures the diagonal, it's about 1.414 times longer than one side.
  2. If you have a square with sides of length 1, its diagonal is roughly 1.414 units long.
  3. It shows up when calculating distances in right triangles.

Ask a question

See also

Discussion

Recent activity