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What is the Square Root of 20584?

The square root of 20584 is 143.4712514757. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20584 = 143.4712514757
CalculatedNon-perfect squareIrrational
Exact form√20584
Perfect squareNo
Number typeIrrational
Verification143.47125147572 ≈ 20584

On this page

How the answer is calculated

We solve x2 = 20584. The resulting value is x = 143.4712514757.

Verification: 143.47125147572 ≈ 20584.

Simplified radical form

The square root of 20584 in simplified radical form is 2√5146.

This is equivalent to √20584, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20581143.4607960385
√20582143.4642812689
√20583143.4677664146
√20584143.4712514757
√20585143.4747364521
√20586143.4782213439
√20587143.481706151

Number properties

Is 20584 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20584 is irrational because 20584 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 20584.