It asks for the number that, when raised to the power of 2, equals 8.
What is the Square Root of 8?
The square root of 8 is 2.8284271247. Calculate another value or review the exact form, nearby perfect powers, and verification.
Answer
Square Root√8 = 2.8284271247
CalculatedNon-perfect squareIrrational
Exact form√8
Perfect squareNo
Number typeIrrational
Verification2.82842712472 ≈ 8
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How the answer is calculated
We solve x2 = 8. The resulting value is x = 2.8284271247.
Verification: 2.82842712472 ≈ 8.
Simplified radical form
The square root of 8 in simplified radical form is 2√2.
This is equivalent to √8, with perfect-square factors moved outside the radical.
Nearest Perfect squares
| Position | Base | Value |
|---|---|---|
| Lower or equal | 2 | 4 |
| Upper or equal | 3 | 9 |
Nearby square roots
Number properties
Is 8 a perfect square?
No. Its square root is not a whole number.
Is the square root rational or irrational?
√8 is irrational because 8 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.