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What is the Square Root of 20960?

The square root of 20960 is 144.7756885668. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20960 = 144.7756885668
CalculatedNon-perfect squareIrrational
Exact form√20960
Perfect squareNo
Number typeIrrational
Verification144.77568856682 ≈ 20960

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How the answer is calculated

We solve x2 = 20960. The resulting value is x = 144.7756885668.

Verification: 144.77568856682 ≈ 20960.

Simplified radical form

The square root of 20960 in simplified radical form is 4√1310.

This is equivalent to √20960, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20957144.7653273405
√20958144.768781165
√20959144.7722349071
√20960144.7756885668
√20961144.7791421442
√20962144.7825956391
√20963144.7860490517

Number properties

Is 20960 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20960 is irrational because 20960 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 20960.