It asks for the number that, when raised to the power of 2, equals 2.
What is the Square Root of 2?
The square root of 2 is 1.4142135624. Calculate another value or review the exact form, nearby perfect powers, and verification.
Answer
Square Root√2 = 1.4142135624
CalculatedNon-perfect squareIrrational
Exact form√2
Perfect squareNo
Number typeIrrational
Verification1.41421356242 ≈ 2
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How the answer is calculated
We solve x2 = 2. The resulting value is x = 1.4142135624.
Verification: 1.41421356242 ≈ 2.
Simplified radical form
The square root of 2 in simplified radical form is √2.
There are no square factors that can be taken outside the radical, so √2 is already in simplest radical form.
Nearest Perfect squares
| Position | Base | Value |
|---|---|---|
| Lower or equal | 1 | 1 |
| Upper or equal | 2 | 4 |
Nearby square roots
Number properties
Is 2 a perfect square?
No. Its square root is not a whole number.
Is the square root rational or irrational?
√2 is irrational because 2 is not a perfect square.
Visual guide
Square Root function graph
See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.
Common questions
Frequently asked questions
The decimal answer is rounded for display; the radical form remains exact.
Yes. Enter any supported number in the calculator above and select Calculate.