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Recognised as Physical constant

Square root of two

  • √2
  • Exact by definition
  • mathematical

Square root of two (√2) is 1.414213562373. The first number proved irrational, some time around the 5th century BC. Values follow CODATA 2018 (2019 SI redefinition).

Value

Value1.4142135623731
Scientific notation1.41421356237 × 10^0
Unitdimensionless
Symbol√2
ExactnessExact by definitionThe first number proved irrational, some time around the 5th century BC.
Reciprocal7.071067812 × 10^-1
Order of magnitude10^0

Multiples

× 22.82842712 × 10^0
× 101.41421356 × 10^1
× 1001.41421356 × 10^2
× 1,0001.41421356 × 10^3
× 0.57.07106781 × 10^-1
× 0.11.41421356 × 10^-1

Provenance

DatasetCODATA 2018 (2019 SI redefinition)
Categorymathematical
Why it mattersThe first number proved irrational, some time around the 5th century BC.

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