Quick examples
- √144 = 12
- √2 ≈ 1.41421356
- √0 = 0
- √−9 = 3i
Find principal square roots, perfect squares, and imaginary results.
Square root calculator
Find the principal square root of positive, zero, or negative numbers.
PRINCIPAL SQUARE ROOT12
This number is a perfect square.
EXACT FORM12
DECIMAL APPROXIMATION12
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Square Root CalculatorCurrent tool
GUIDE
How to use this calculator
Use the square root calculator to identify perfect squares, view exact radical notation for non-perfect squares, and calculate the principal imaginary result for negative numbers.
Steps
- Enter a positive, zero, or negative number.
- Select Calculate square root.
- Read the exact form.
- Use the decimal approximation when the root is not a whole number.
What is a principal square root?
It is the standard non-negative square root for a non-negative number.
What is a perfect square?
A perfect square has a whole-number square root, such as 144 because 12 × 12 = 144.
Can negative numbers have square roots?
Yes, in the complex-number system. Hypercalcs displays the principal result with i.
Square Root Calculator calculates results in your browser. Check important financial, medical, or planning decisions with an appropriate professional.