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What is the Square Root of 20829?

The square root of 20829 is 144.3225554097. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20829 = 144.3225554097
CalculatedNon-perfect squareIrrational
Exact form√20829
Perfect squareNo
Number typeIrrational
Verification144.32255540972 ≈ 20829

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How the answer is calculated

We solve x2 = 20829. The resulting value is x = 144.3225554097.

Verification: 144.32255540972 ≈ 20829.

Simplified radical form

The square root of 20829 in simplified radical form is √20829.

There are no square factors that can be taken outside the radical, so √20829 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20826144.3121616497
√20827144.3156263195
√20828144.3190909062
√20829144.3225554097
√20830144.3260198301
√20831144.3294841673
√20832144.3329484213

Number properties

Is 20829 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20829 is irrational because 20829 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 20829.