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What is the Square Root of 13266?

The square root of 13266 is 115.1781229227. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13266 = 115.1781229227
CalculatedNon-perfect squareIrrational
Exact form√13266
Perfect squareNo
Number typeIrrational
Verification115.17812292272 ≈ 13266

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How the answer is calculated

We solve x2 = 13266. The resulting value is x = 115.1781229227.

Verification: 115.17812292272 ≈ 13266.

Simplified radical form

The square root of 13266 in simplified radical form is 3√1474.

This is equivalent to √13266, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13263115.1650988798
√13264115.1694403911
√13265115.1737817387
√13266115.1781229227
√13267115.1824639431
√13268115.1868047999
√13269115.191145493

Number properties

Is 13266 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13266 is irrational because 13266 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 13266.