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What is the Square Root of 20966?

The square root of 20966 is 144.7964087952. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20966 = 144.7964087952
CalculatedNon-perfect squareIrrational
Exact form√20966
Perfect squareNo
Number typeIrrational
Verification144.79640879522 ≈ 20966

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How the answer is calculated

We solve x2 = 20966. The resulting value is x = 144.7964087952.

Verification: 144.79640879522 ≈ 20966.

Simplified radical form

The square root of 20966 in simplified radical form is √20966.

There are no square factors that can be taken outside the radical, so √20966 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20963144.7860490517
√20964144.7895023819
√20965144.7929556298
√20966144.7964087952
√20967144.7998618784
√20968144.8033148792
√20969144.8067677976

Number properties

Is 20966 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20966 is irrational because 20966 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 20966.