Unlocking the Mystery of the Irrational Number √2 in Geometry and Mathematics

√2

sec(π/4)

√2 represents the square root of 2. It is an irrational number, which means it cannot be expressed as a simple fraction or a terminating decimal. The decimal representation of √2 goes on infinitely without repeating.

√2 is often used in geometry for calculating the diagonal of a square whose sides are of length 1. By using the Pythagorean theorem (a^2 + b^2 = c^2), we can find that the diagonal of the square is equal to √2.

The approximate value of √2 is 1.41421356. It is important to note that while this value is commonly used, it is only an approximation because the decimal expansion of √2 goes on infinitely.

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