What is the Square Root of 896?

The square root of 896 is 29.9332590942. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√896 = 29.9332590942
CalculatedNon-perfect squareIrrational
Exact form√896
Perfect squareNo
Number typeIrrational
Verification29.93325909422 ≈ 896

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How the answer is calculated

We solve x2 = 896. The resulting value is x = 29.9332590942.

Verification: 29.93325909422 ≈ 896.

Simplified radical form

The square root of 896 in simplified radical form is 8√14.

This is equivalent to √896, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√89329.883105595
√89429.8998327755
√89529.9165506033
√89629.9332590942
√89729.9499582637
√89829.9666481275
√89929.9833287011

Number properties

Is 896 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√896 is irrational because 896 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 896.