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What is the Square Root of 13529?

The square root of 13529 is 116.314229568. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13529 = 116.314229568
CalculatedNon-perfect squareIrrational
Exact form√13529
Perfect squareNo
Number typeIrrational
Verification116.3142295682 ≈ 13529

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How the answer is calculated

We solve x2 = 13529. The resulting value is x = 116.314229568.

Verification: 116.3142295682 ≈ 13529.

Simplified radical form

The square root of 13529 in simplified radical form is √13529.

There are no square factors that can be taken outside the radical, so √13529 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13526116.3013327525
√13527116.3056318499
√13528116.3099307884
√13529116.314229568
√13530116.3185281888
√13531116.3228266507
√13532116.3271249537

Number properties

Is 13529 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13529 is irrational because 13529 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 13529.