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What is the Square Root of 20461?

The square root of 20461 is 143.0419518882. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20461 = 143.0419518882
CalculatedNon-perfect squareIrrational
Exact form√20461
Perfect squareNo
Number typeIrrational
Verification143.04195188822 ≈ 20461

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How the answer is calculated

We solve x2 = 20461. The resulting value is x = 143.0419518882.

Verification: 143.04195188822 ≈ 20461.

Simplified radical form

The square root of 20461 in simplified radical form is √20461.

There are no square factors that can be taken outside the radical, so √20461 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20458143.0314650698
√20459143.0349607613
√20460143.0384563675
√20461143.0419518882
√20462143.0454473236
√20463143.0489426735
√20464143.052437938

Number properties

Is 20461 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20461 is irrational because 20461 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 20461.