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What is the Square Root of 13261?

The square root of 13261 is 115.1564153662. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13261 = 115.1564153662
CalculatedNon-perfect squareIrrational
Exact form√13261
Perfect squareNo
Number typeIrrational
Verification115.15641536622 ≈ 13261

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How the answer is calculated

We solve x2 = 13261. The resulting value is x = 115.1564153662.

Verification: 115.15641536622 ≈ 13261.

Simplified radical form

The square root of 13261 in simplified radical form is √13261.

There are no square factors that can be taken outside the radical, so √13261 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13258115.143388868
√13259115.1477311978
√13260115.1520733639
√13261115.1564153662
√13262115.1607572049
√13263115.1650988798
√13264115.1694403911

Number properties

Is 13261 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13261 is irrational because 13261 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 13261.