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What is the Square Root of 16004?

The square root of 16004 is 126.5069168069. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16004 = 126.5069168069
CalculatedNon-perfect squareIrrational
Exact form√16004
Perfect squareNo
Number typeIrrational
Verification126.50691680692 ≈ 16004

On this page

How the answer is calculated

We solve x2 = 16004. The resulting value is x = 126.5069168069.

Verification: 126.50691680692 ≈ 16004.

Simplified radical form

The square root of 16004 in simplified radical form is 2√4001.

This is equivalent to √16004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√16001126.495059192
√16002126.4990118538
√16003126.5029643921
√16004126.5069168069
√16005126.5108690983
√16006126.5148212661
√16007126.5187733105

Number properties

Is 16004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16004 is irrational because 16004 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 16004.