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What is the Square Root of 14461?

The square root of 14461 is 120.2538980657. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14461 = 120.2538980657
CalculatedNon-perfect squareIrrational
Exact form√14461
Perfect squareNo
Number typeIrrational
Verification120.25389806572 ≈ 14461

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How the answer is calculated

We solve x2 = 14461. The resulting value is x = 120.2538980657.

Verification: 120.25389806572 ≈ 14461.

Simplified radical form

The square root of 14461 in simplified radical form is √14461.

There are no square factors that can be taken outside the radical, so √14461 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12014400
Upper or equal12114641

Nearby square roots

NumberSquare root
√14458120.2414238106
√14459120.2455820394
√14460120.2497401245
√14461120.2538980657
√14462120.2580558632
√14463120.262213517
√14464120.266371027

Number properties

Is 14461 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√14461 is irrational because 14461 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 14461.