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What is the Square Root of 20823?

The square root of 20823 is 144.3017671409. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20823 = 144.3017671409
CalculatedNon-perfect squareIrrational
Exact form√20823
Perfect squareNo
Number typeIrrational
Verification144.30176714092 ≈ 20823

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How the answer is calculated

We solve x2 = 20823. The resulting value is x = 144.3017671409.

Verification: 144.30176714092 ≈ 20823.

Simplified radical form

The square root of 20823 in simplified radical form is √20823.

There are no square factors that can be taken outside the radical, so √20823 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20820144.2913718834
√20821144.2948370525
√20822144.2983021383
√20823144.3017671409
√20824144.3052320604
√20825144.3086968966
√20826144.3121616497

Number properties

Is 20823 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20823 is irrational because 20823 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 20823.