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What is the Square Root of 13237?

The square root of 13237 is 115.0521620831. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13237 = 115.0521620831
CalculatedNon-perfect squareIrrational
Exact form√13237
Perfect squareNo
Number typeIrrational
Verification115.05216208312 ≈ 13237

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How the answer is calculated

We solve x2 = 13237. The resulting value is x = 115.0521620831.

Verification: 115.05216208312 ≈ 13237.

Simplified radical form

The square root of 13237 in simplified radical form is √13237.

There are no square factors that can be taken outside the radical, so √13237 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13234115.0391237797
√13235115.043470045
√13236115.0478161462
√13237115.0521620831
√13238115.0565078559
√13239115.0608534646
√13240115.0651989091

Number properties

Is 13237 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13237 is irrational because 13237 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 13237.