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What is the Square Root of 14641?

The square root of 14641 is 121. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√14641 = 121
ExactPerfect squareRational
Exact form121
Perfect squareYes
Number typeRational
Verification1212 ≈ 14641

On this page

How the answer is calculated

We solve x2 = 14641. The resulting value is x = 121.

Verification: 1212 ≈ 14641.

Simplified radical form

The square root of 14641 in simplified radical form is 121.

There are no square factors that can be taken outside the radical, so 121 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12114641
Upper or equal12114641

Nearby square roots

NumberSquare root
√14638120.9876026707
√14639120.9917352549
√14640120.995867698
√14641121
√14642121.0041321608
√14643121.0082641806
√14644121.0123960592

Number properties

Is 14641 a perfect square?

Yes. Its square root is the whole number 121.

Is the square root rational or irrational?

121 is rational because it is a whole number.

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 14641.