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What is the Square Root of 14321?

The square root of 14321 is 119.6703806295. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14321 = 119.6703806295
CalculatedNon-perfect squareIrrational
Exact form√14321
Perfect squareNo
Number typeIrrational
Verification119.67038062952 ≈ 14321

On this page

How the answer is calculated

We solve x2 = 14321. The resulting value is x = 119.6703806295.

Verification: 119.67038062952 ≈ 14321.

Simplified radical form

The square root of 14321 in simplified radical form is √14321.

There are no square factors that can be taken outside the radical, so √14321 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11914161
Upper or equal12014400

Nearby square roots

NumberSquare root
√14318119.657845543
√14319119.6620240511
√14320119.6662024132
√14321119.6703806295
√14322119.6745586998
√14323119.6787366243
√14324119.682914403

Number properties

Is 14321 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14321 is irrational because 14321 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 14321.