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What is the Square Root of 14496?

The square root of 14496 is 120.3993355463. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14496 = 120.3993355463
CalculatedNon-perfect squareIrrational
Exact form√14496
Perfect squareNo
Number typeIrrational
Verification120.39933554632 ≈ 14496

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How the answer is calculated

We solve x2 = 14496. The resulting value is x = 120.3993355463.

Verification: 120.39933554632 ≈ 14496.

Simplified radical form

The square root of 14496 in simplified radical form is 4√906.

This is equivalent to √14496, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12014400
Upper or equal12114641

Nearby square roots

NumberSquare root
√14493120.3868763612
√14494120.3910295662
√14495120.3951826279
√14496120.3993355463
√14497120.4034883216
√14498120.4076409536
√14499120.4117934423

Number properties

Is 14496 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14496 is irrational because 14496 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 14496.