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What is the Square Root of 13258?

The square root of 13258 is 115.143388868. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13258 = 115.143388868
CalculatedNon-perfect squareIrrational
Exact form√13258
Perfect squareNo
Number typeIrrational
Verification115.1433888682 ≈ 13258

On this page

How the answer is calculated

We solve x2 = 13258. The resulting value is x = 115.143388868.

Verification: 115.1433888682 ≈ 13258.

Simplified radical form

The square root of 13258 in simplified radical form is √13258.

There are no square factors that can be taken outside the radical, so √13258 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13255115.1303608958
√13256115.134703717
√13257115.1390463744
√13258115.143388868
√13259115.1477311978
√13260115.1520733639
√13261115.1564153662

Number properties

Is 13258 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13258 is irrational because 13258 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 13258.