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What is the Square Root of 13267?

The square root of 13267 is 115.1824639431. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13267 = 115.1824639431
CalculatedNon-perfect squareIrrational
Exact form√13267
Perfect squareNo
Number typeIrrational
Verification115.18246394312 ≈ 13267

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How the answer is calculated

We solve x2 = 13267. The resulting value is x = 115.1824639431.

Verification: 115.18246394312 ≈ 13267.

Simplified radical form

The square root of 13267 in simplified radical form is √13267.

There are no square factors that can be taken outside the radical, so √13267 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13264115.1694403911
√13265115.1737817387
√13266115.1781229227
√13267115.1824639431
√13268115.1868047999
√13269115.191145493
√13270115.1954860227

Number properties

Is 13267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13267 is irrational because 13267 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 13267.