What is the Square Root of 868?

The square root of 868 is 29.4618397253. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√868 = 29.4618397253
CalculatedNon-perfect squareIrrational
Exact form√868
Perfect squareNo
Number typeIrrational
Verification29.46183972532 ≈ 868

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How the answer is calculated

We solve x2 = 868. The resulting value is x = 29.4618397253.

Verification: 29.46183972532 ≈ 868.

Simplified radical form

The square root of 868 in simplified radical form is 2√217.

This is equivalent to √868, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√86529.4108823397
√86629.4278779391
√86729.4448637287
√86829.4618397253
√86929.478805946
√87029.4957624075
√87129.5127091267

Number properties

Is 868 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√868 is irrational because 868 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 868.