What is the Square Root of 14464?

The square root of 14464 is 120.266371027. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14464 = 120.266371027
CalculatedNon-perfect squareIrrational
Exact form√14464
Perfect squareNo
Number typeIrrational
Verification120.2663710272 ≈ 14464

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How the answer is calculated

We solve x2 = 14464. The resulting value is x = 120.266371027.

Verification: 120.2663710272 ≈ 14464.

Simplified radical form

The square root of 14464 in simplified radical form is 8√226.

This is equivalent to √14464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12014400
Upper or equal12114641

Nearby square roots

NumberSquare root
√14461120.2538980657
√14462120.2580558632
√14463120.262213517
√14464120.266371027
√14465120.2705283933
√14466120.2746856159
√14467120.2788426948

Number properties

Is 14464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14464 is irrational because 14464 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 14464.