Square Root Calculator
Calculate exact square roots and cube roots for any positive number with decimal precision.
Square Root (√x)
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How to Find Square & Higher Roots
- Enter your positive radicand number.
- Optionally specify root degree (2 for square root, 3 for cube root, or custom n).
- View the primary root value alongside its square check.
Root Logic & Properties
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Square Root:
√x = rwherer² = xandr ≥ 0. -
nth Root:
ⁿ√x = x^(1/n).
Common Root Examples
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√144 = 12(perfect square). -
√2 ≈ 1.4142(irrational constant). -
∛27 = 3(cube root).
Common Applications
- Pythagorean theorem calculations in geometry and construction.
- Standard deviation and variance calculations in statistics.
- Quadratic formula equation solutions.
Frequently Asked Questions
Can I calculate the square root of a negative number?
In standard real number arithmetic, negative square roots are undefined. Our tool requires non-negative real numbers.
How many decimal places are displayed?
Results round to 4 decimal places for scientific precision while displaying exact integers for perfect squares.