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What is the Square Root of 13259?

The square root of 13259 is 115.1477311978. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13259 = 115.1477311978
CalculatedNon-perfect squareIrrational
Exact form√13259
Perfect squareNo
Number typeIrrational
Verification115.14773119782 ≈ 13259

On this page

How the answer is calculated

We solve x2 = 13259. The resulting value is x = 115.1477311978.

Verification: 115.14773119782 ≈ 13259.

Simplified radical form

The square root of 13259 in simplified radical form is √13259.

There are no square factors that can be taken outside the radical, so √13259 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13256115.134703717
√13257115.1390463744
√13258115.143388868
√13259115.1477311978
√13260115.1520733639
√13261115.1564153662
√13262115.1607572049

Number properties

Is 13259 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13259 is irrational because 13259 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 13259.