What is the Square Root of 20836?

The square root of 20836 is 144.3468046061. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20836 = 144.3468046061
CalculatedNon-perfect squareIrrational
Exact form√20836
Perfect squareNo
Number typeIrrational
Verification144.34680460612 ≈ 20836

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How the answer is calculated

We solve x2 = 20836. The resulting value is x = 144.3468046061.

Verification: 144.34680460612 ≈ 20836.

Simplified radical form

The square root of 20836 in simplified radical form is 2√5209.

This is equivalent to √20836, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20833144.3364125922
√20834144.33987668
√20835144.3433406846
√20836144.3468046061
√20837144.3502684445
√20838144.3537321998
√20839144.3571958719

Number properties

Is 20836 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20836 is irrational because 20836 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 20836.