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What is the Square Root of 12004?

The square root of 12004 is 109.5627673984. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12004 = 109.5627673984
CalculatedNon-perfect squareIrrational
Exact form√12004
Perfect squareNo
Number typeIrrational
Verification109.56276739842 ≈ 12004

On this page

How the answer is calculated

We solve x2 = 12004. The resulting value is x = 109.5627673984.

Verification: 109.56276739842 ≈ 12004.

Simplified radical form

The square root of 12004 in simplified radical form is 2√3001.

This is equivalent to √12004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√12001109.5490757606
√12002109.55363983
√12003109.5582037093
√12004109.5627673984
√12005109.5673308975
√12006109.5718942065
√12007109.5764573255

Number properties

Is 12004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12004 is irrational because 12004 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 12004.