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What is the Square Root of 14004?

The square root of 14004 is 118.3384975399. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14004 = 118.3384975399
CalculatedNon-perfect squareIrrational
Exact form√14004
Perfect squareNo
Number typeIrrational
Verification118.33849753992 ≈ 14004

On this page

How the answer is calculated

We solve x2 = 14004. The resulting value is x = 118.3384975399.

Verification: 118.33849753992 ≈ 14004.

Simplified radical form

The square root of 14004 in simplified radical form is 6√389.

This is equivalent to √14004, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11813924
Upper or equal11914161

Nearby square roots

NumberSquare root
√14001118.3258213578
√14002118.3300469027
√14003118.3342722967
√14004118.3384975399
√14005118.3427226322
√14006118.3469475736
√14007118.3511723643

Number properties

Is 14004 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14004 is irrational because 14004 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 14004.