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What is the Square Root of 20364?

The square root of 20364 is 142.7024877148. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20364 = 142.7024877148
CalculatedNon-perfect squareIrrational
Exact form√20364
Perfect squareNo
Number typeIrrational
Verification142.70248771482 ≈ 20364

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How the answer is calculated

We solve x2 = 20364. The resulting value is x = 142.7024877148.

Verification: 142.70248771482 ≈ 20364.

Simplified radical form

The square root of 20364 in simplified radical form is 2√5091.

This is equivalent to √20364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20361142.6919759482
√20362142.6954799564
√20363142.6989838787
√20364142.7024877148
√20365142.705991465
√20366142.7094951291
√20367142.7129987072

Number properties

Is 20364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20364 is irrational because 20364 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 20364.