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What is the Square Root of 20809?

The square root of 20809 is 144.2532495301. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20809 = 144.2532495301
CalculatedNon-perfect squareIrrational
Exact form√20809
Perfect squareNo
Number typeIrrational
Verification144.25324953012 ≈ 20809

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How the answer is calculated

We solve x2 = 20809. The resulting value is x = 144.2532495301.

Verification: 144.25324953012 ≈ 20809.

Simplified radical form

The square root of 20809 in simplified radical form is √20809.

There are no square factors that can be taken outside the radical, so √20809 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20806144.242850776
√20807144.2463171107
√20808144.2497833621
√20809144.2532495301
√20810144.2567156149
√20811144.2601816164
√20812144.2636475346

Number properties

Is 20809 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20809 is irrational because 20809 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 20809.