What is the Square Root of 808?

The square root of 808 is 28.4253408071. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√808 = 28.4253408071
CalculatedNon-perfect squareIrrational
Exact form√808
Perfect squareNo
Number typeIrrational
Verification28.42534080712 ≈ 808

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How the answer is calculated

We solve x2 = 808. The resulting value is x = 28.4253408071.

Verification: 28.42534080712 ≈ 808.

Simplified radical form

The square root of 808 in simplified radical form is 2√202.

This is equivalent to √808, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal28784
Upper or equal29841

Nearby square roots

NumberSquare root
√80528.3725219182
√80628.3901391332
√80728.4077454227
√80828.4253408071
√80928.4429253067
√81028.4604989415
√81128.4780617318

Number properties

Is 808 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√808 is irrational because 808 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

It asks for the number that, when raised to the power of 2, equals 808.