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What is the Square Root of 20464?

The square root of 20464 is 143.052437938. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20464 = 143.052437938
CalculatedNon-perfect squareIrrational
Exact form√20464
Perfect squareNo
Number typeIrrational
Verification143.0524379382 ≈ 20464

On this page

How the answer is calculated

We solve x2 = 20464. The resulting value is x = 143.052437938.

Verification: 143.0524379382 ≈ 20464.

Simplified radical form

The square root of 20464 in simplified radical form is 4√1279.

This is equivalent to √20464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20461143.0419518882
√20462143.0454473236
√20463143.0489426735
√20464143.052437938
√20465143.0559331171
√20466143.0594282108
√20467143.0629232191

Number properties

Is 20464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20464 is irrational because 20464 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 20464.