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What is the Square Root of 14401?

The square root of 14401 is 120.0041665943. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14401 = 120.0041665943
CalculatedNon-perfect squareIrrational
Exact form√14401
Perfect squareNo
Number typeIrrational
Verification120.00416659432 ≈ 14401

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How the answer is calculated

We solve x2 = 14401. The resulting value is x = 120.0041665943.

Verification: 120.00416659432 ≈ 14401.

Simplified radical form

The square root of 14401 in simplified radical form is √14401.

There are no square factors that can be taken outside the radical, so √14401 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12014400
Upper or equal12114641

Nearby square roots

NumberSquare root
√14398119.9916663773
√14399119.995833261
√14400120
√14401120.0041665943
√14402120.008333044
√14403120.012499349
√14404120.0166655094

Number properties

Is 14401 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14401 is irrational because 14401 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 14401.