What is the Square Root of 893?

The square root of 893 is 29.883105595. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√893 = 29.883105595
CalculatedNon-perfect squareIrrational
Exact form√893
Perfect squareNo
Number typeIrrational
Verification29.8831055952 ≈ 893

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How the answer is calculated

We solve x2 = 893. The resulting value is x = 29.883105595.

Verification: 29.8831055952 ≈ 893.

Simplified radical form

The square root of 893 in simplified radical form is √893.

There are no square factors that can be taken outside the radical, so √893 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√89029.8328677804
√89129.8496231132
√89229.8663690461
√89329.883105595
√89429.8998327755
√89529.9165506033
√89629.9332590942

Number properties

Is 893 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√893 is irrational because 893 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 893.