It asks for the number that, when raised to the power of 2, equals 1.
What is the Square Root of 1?
The square root of 1 is 1. Calculate another value or review the exact form, nearby perfect powers, and verification.
Answer
Square Root√1 = 1
ExactPerfect squareRational
Exact form1
Perfect squareYes
Number typeRational
Verification12 ≈ 1
Share result
On this page
How the answer is calculated
We solve x2 = 1. The resulting value is x = 1.
Verification: 12 ≈ 1.
Simplified radical form
The square root of 1 in simplified radical form is 1.
There are no square factors that can be taken outside the radical, so 1 is already in simplest radical form.
Nearest Perfect squares
| Position | Base | Value |
|---|---|---|
| Lower or equal | 1 | 1 |
| Upper or equal | 1 | 1 |
Nearby square roots
Number properties
Is 1 a perfect square?
Yes. Its square root is the whole number 1.
Is the square root rational or irrational?
1 is rational because it is a whole number.
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 answer is exact because this input is a perfect square.
Yes. Enter any supported number in the calculator above and select Calculate.