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What is the Square Root of 20834?

The square root of 20834 is 144.33987668. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20834 = 144.33987668
CalculatedNon-perfect squareIrrational
Exact form√20834
Perfect squareNo
Number typeIrrational
Verification144.339876682 ≈ 20834

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How the answer is calculated

We solve x2 = 20834. The resulting value is x = 144.33987668.

Verification: 144.339876682 ≈ 20834.

Simplified radical form

The square root of 20834 in simplified radical form is √20834.

There are no square factors that can be taken outside the radical, so √20834 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20831144.3294841673
√20832144.3329484213
√20833144.3364125922
√20834144.33987668
√20835144.3433406846
√20836144.3468046061
√20837144.3502684445

Number properties

Is 20834 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20834 is irrational because 20834 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 20834.