What is the Square Root of 12029?

The square root of 12029 is 109.676797911. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12029 = 109.676797911
CalculatedNon-perfect squareIrrational
Exact form√12029
Perfect squareNo
Number typeIrrational
Verification109.6767979112 ≈ 12029

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How the answer is calculated

We solve x2 = 12029. The resulting value is x = 109.676797911.

Verification: 109.6767979112 ≈ 12029.

Simplified radical form

The square root of 12029 in simplified radical form is √12029.

There are no square factors that can be taken outside the radical, so √12029 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√12026109.66312051
√12027109.6676798332
√12028109.6722389668
√12029109.676797911
√12030109.6813566656
√12031109.6859152307
√12032109.6904736064

Number properties

Is 12029 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12029 is irrational because 12029 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 12029.