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What is the Square Root of 13089?

The square root of 13089 is 114.4071676076. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13089 = 114.4071676076
CalculatedNon-perfect squareIrrational
Exact form√13089
Perfect squareNo
Number typeIrrational
Verification114.40716760762 ≈ 13089

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How the answer is calculated

We solve x2 = 13089. The resulting value is x = 114.4071676076.

Verification: 114.40716760762 ≈ 13089.

Simplified radical form

The square root of 13089 in simplified radical form is √13089.

There are no square factors that can be taken outside the radical, so √13089 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13086114.3940557896
√13087114.3984265626
√13088114.4027971686
√13089114.4071676076
√13090114.4115378797
√13091114.4159079849
√13092114.4202779231

Number properties

Is 13089 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13089 is irrational because 13089 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 13089.