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What is the Square Root of 20804?

The square root of 20804 is 144.2359178568. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20804 = 144.2359178568
CalculatedNon-perfect squareIrrational
Exact form√20804
Perfect squareNo
Number typeIrrational
Verification144.23591785682 ≈ 20804

On this page

How the answer is calculated

We solve x2 = 20804. The resulting value is x = 144.2359178568.

Verification: 144.23591785682 ≈ 20804.

Simplified radical form

The square root of 20804 in simplified radical form is 2√5201.

This is equivalent to √20804, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20801144.2255178531
√20802144.2289846043
√20803144.2324512722
√20804144.2359178568
√20805144.2393843581
√20806144.242850776
√20807144.2463171107

Number properties

Is 20804 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20804 is irrational because 20804 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 20804.