Use a calculator and enter 2, then press the square root key
Approximate it as 1.41421356
Use the Babylonian method:
Start with a guess, such as 1.5
Replace the guess with `(guess + 2 / guess) / 2`
Repeat until the value stops changing much
Use Newton’s method for `x^2 – 2 = 0`
Start with a guess
Update with `x = (x + 2 / x) / 2`
Repeat until accurate enough
Use the continued fraction:
`√2 = [1; 2, 2, 2, 2, …]`
Use the decimal expansion:
`√2 = 1.414213562373095…`