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What is the Square Root of 13589?

The square root of 13589 is 116.5718662457. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13589 = 116.5718662457
CalculatedNon-perfect squareIrrational
Exact form√13589
Perfect squareNo
Number typeIrrational
Verification116.57186624572 ≈ 13589

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How the answer is calculated

We solve x2 = 13589. The resulting value is x = 116.5718662457.

Verification: 116.57186624572 ≈ 13589.

Simplified radical form

The square root of 13589 in simplified radical form is √13589.

There are no square factors that can be taken outside the radical, so √13589 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13586116.5589979367
√13587116.5632875309
√13588116.5675769672
√13589116.5718662457
√13590116.5761553664
√13591116.5804443292
√13592116.5847331343

Number properties

Is 13589 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13589 is irrational because 13589 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 13589.