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What is the Square Root of 20200?

The square root of 20200 is 142.1267040355. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20200 = 142.1267040355
CalculatedNon-perfect squareIrrational
Exact form√20200
Perfect squareNo
Number typeIrrational
Verification142.12670403552 ≈ 20200

On this page

How the answer is calculated

We solve x2 = 20200. The resulting value is x = 142.1267040355.

Verification: 142.12670403552 ≈ 20200.

Simplified radical form

The square root of 20200 in simplified radical form is 10√202.

This is equivalent to √20200, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20197142.1161496805
√20198142.1196678859
√20199142.1231860043
√20200142.1267040355
√20201142.1302219797
√20202142.1337398368
√20203142.1372576069

Number properties

Is 20200 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20200 is irrational because 20200 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 20200.