It asks for the number that, when raised to the power of 2, equals 5.
What is the Square Root of 5?
The square root of 5 is 2.2360679775. Calculate another value or review the exact form, nearby perfect powers, and verification.
Answer
Square Root√5 = 2.2360679775
CalculatedNon-perfect squareIrrational
Exact form√5
Perfect squareNo
Number typeIrrational
Verification2.23606797752 ≈ 5
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How the answer is calculated
We solve x2 = 5. The resulting value is x = 2.2360679775.
Verification: 2.23606797752 ≈ 5.
Simplified radical form
The square root of 5 in simplified radical form is √5.
There are no square factors that can be taken outside the radical, so √5 is already in simplest radical form.
Nearest Perfect squares
| Position | Base | Value |
|---|---|---|
| Lower or equal | 2 | 4 |
| Upper or equal | 3 | 9 |
Nearby square roots
Number properties
Is 5 a perfect square?
No. Its square root is not a whole number.
Is the square root rational or irrational?
√5 is irrational because 5 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.