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What is the Square Root of 20204?

The square root of 20204 is 142.1407752899. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20204 = 142.1407752899
CalculatedNon-perfect squareIrrational
Exact form√20204
Perfect squareNo
Number typeIrrational
Verification142.14077528992 ≈ 20204

On this page

How the answer is calculated

We solve x2 = 20204. The resulting value is x = 142.1407752899.

Verification: 142.14077528992 ≈ 20204.

Simplified radical form

The square root of 20204 in simplified radical form is 2√5051.

This is equivalent to √20204, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20201142.1302219797
√20202142.1337398368
√20203142.1372576069
√20204142.1407752899
√20205142.1442928858
√20206142.1478103947
√20207142.1513278165

Number properties

Is 20204 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20204 is irrational because 20204 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 20204.