Root calculator
A square root of a perfect square is returned exactly. Everything else is computed by integer square root or by a 60-digit logarithm.
Root
1.414 213 562 373 095 048 801 689
- Square root
- 1.414 213 562 373 095 048 801 689
- Cube root
- 1.259 921 049 894 873 164 8
- Root raised back to that power
- 2
Show the working
- Number = 2
- Root degree = 2
- Root = root(2, 2) = 1.414 21
- Square root = sqrt(2) = 1.414 21
- Cube root = cbrt(2) = 1.259 92
- Root raised back to that power = 1.414 21^2 = 2
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- nth root of x = x^(1/n)
sqrt(2) is shown here to 25 digits: 1.414213562373095048801689, which a 64-bit float cannot reach.