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What is the Square Root of 13249?

The square root of 13249 is 115.1043005278. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13249 = 115.1043005278
CalculatedNon-perfect squareIrrational
Exact form√13249
Perfect squareNo
Number typeIrrational
Verification115.10430052782 ≈ 13249

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How the answer is calculated

We solve x2 = 13249. The resulting value is x = 115.1043005278.

Verification: 115.10430052782 ≈ 13249.

Simplified radical form

The square root of 13249 in simplified radical form is √13249.

There are no square factors that can be taken outside the radical, so √13249 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13246115.091268131
√13247115.0956124272
√13248115.0999565595
√13249115.1043005278
√13250115.1086443322
√13251115.1129879727
√13252115.1173314493

Number properties

Is 13249 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13249 is irrational because 13249 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 13249.