What is the Square Root of 863?

The square root of 863 is 29.3768616431. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√863 = 29.3768616431
CalculatedNon-perfect squareIrrational
Exact form√863
Perfect squareNo
Number typeIrrational
Verification29.37686164312 ≈ 863

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How the answer is calculated

We solve x2 = 863. The resulting value is x = 29.3768616431.

Verification: 29.37686164312 ≈ 863.

Simplified radical form

The square root of 863 in simplified radical form is √863.

There are no square factors that can be taken outside the radical, so √863 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√86029.3257565972
√86129.3428015022
√86229.3598365118
√86329.3768616431
√86429.3938769134
√86529.4108823397
√86629.4278779391

Number properties

Is 863 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√863 is irrational because 863 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 863.