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What is the Square Root of 20664?

The square root of 20664 is 143.7497826085. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20664 = 143.7497826085
CalculatedNon-perfect squareIrrational
Exact form√20664
Perfect squareNo
Number typeIrrational
Verification143.74978260852 ≈ 20664

On this page

How the answer is calculated

We solve x2 = 20664. The resulting value is x = 143.7497826085.

Verification: 143.74978260852 ≈ 20664.

Simplified radical form

The square root of 20664 in simplified radical form is 6√574.

This is equivalent to √20664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20661143.7393474314
√20662143.7428259079
√20663143.7463043003
√20664143.7497826085
√20665143.7532608326
√20666143.7567389725
√20667143.7602170282

Number properties

Is 20664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20664 is irrational because 20664 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 20664.