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What is the Square Root of 13029?

The square root of 13029 is 114.1446450781. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13029 = 114.1446450781
CalculatedNon-perfect squareIrrational
Exact form√13029
Perfect squareNo
Number typeIrrational
Verification114.14464507812 ≈ 13029

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How the answer is calculated

We solve x2 = 13029. The resulting value is x = 114.1446450781.

Verification: 114.14464507812 ≈ 13029.

Simplified radical form

The square root of 13029 in simplified radical form is √13029.

There are no square factors that can be taken outside the radical, so √13029 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13026114.1315031006
√13027114.1358839279
√13028114.140264587
√13029114.1446450781
√13030114.149025401
√13031114.1534055559
√13032114.1577855426

Number properties

Is 13029 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13029 is irrational because 13029 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 13029.