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What is the Square Root of 20264?

The square root of 20264 is 142.3516771942. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20264 = 142.3516771942
CalculatedNon-perfect squareIrrational
Exact form√20264
Perfect squareNo
Number typeIrrational
Verification142.35167719422 ≈ 20264

On this page

How the answer is calculated

We solve x2 = 20264. The resulting value is x = 142.3516771942.

Verification: 142.35167719422 ≈ 20264.

Simplified radical form

The square root of 20264 in simplified radical form is 2√5066.

This is equivalent to √20264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20261142.3411395205
√20262142.3446521651
√20263142.348164723
√20264142.3516771942
√20265142.3551895787
√20266142.3587018766
√20267142.3622140879

Number properties

Is 20264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20264 is irrational because 20264 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 20264.