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What is the Square Root of 20989?

The square root of 20989 is 144.8758088847. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20989 = 144.8758088847
CalculatedNon-perfect squareIrrational
Exact form√20989
Perfect squareNo
Number typeIrrational
Verification144.87580888472 ≈ 20989

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How the answer is calculated

We solve x2 = 20989. The resulting value is x = 144.8758088847.

Verification: 144.87580888472 ≈ 20989.

Simplified radical form

The square root of 20989 in simplified radical form is √20989.

There are no square factors that can be taken outside the radical, so √20989 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20986144.8654548193
√20987144.8689062567
√20988144.8723576118
√20989144.8758088847
√20990144.8792600754
√20991144.8827111839
√20992144.8861622102

Number properties

Is 20989 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20989 is irrational because 20989 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 20989.