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What is the Square Root of 20428?

The square root of 20428 is 142.9265545656. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20428 = 142.9265545656
CalculatedNon-perfect squareIrrational
Exact form√20428
Perfect squareNo
Number typeIrrational
Verification142.92655456562 ≈ 20428

On this page

How the answer is calculated

We solve x2 = 20428. The resulting value is x = 142.9265545656.

Verification: 142.92655456562 ≈ 20428.

Simplified radical form

The square root of 20428 in simplified radical form is 2√5107.

This is equivalent to √20428, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20425142.9160592796
√20426142.9195577939
√20427142.9230562226
√20428142.9265545656
√20429142.9300528231
√20430142.9335509949
√20431142.9370490811

Number properties

Is 20428 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20428 is irrational because 20428 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 20428.