Square root of 2

The Square Root of 2

The square root of 2 is a special number in math. It is about 1.4142. If you multiply this number by itself, you get 2. You can write it as √2 or 2¹⁄₂.

Why It Is Special

This number is important because it is irrational. This means it cannot be written as a simple fraction. Its digits go on forever without repeating. For example, a good guess is 99/70, which is about 1.4142857.

Fun Geometry Fact

In geometry, the square root of 2 helps us measure the diagonal of a square. Imagine a square where each side is 1 unit long. The line going from one corner to the opposite corner is the square root of 2 long. This comes from a math rule called the Pythagorean theorem.

Old Discoveries

People have known about this number for a very long time. Ancient Babylonian tablets show a way to find this number. They lived in Babylon, a place with amazing old writings. Later, thinkers in India also found ways to guess this number.

Uses Today

The square root of 2 is used in making paper sizes, like A4 paper. It helps make sure that when you fold the paper in half, it still looks the same. It also shows up in music, cameras, and even how our brains understand space!