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What is the Square Root of 20360?

The square root of 20360 is 142.6884718539. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20360 = 142.6884718539
CalculatedNon-perfect squareIrrational
Exact form√20360
Perfect squareNo
Number typeIrrational
Verification142.68847185392 ≈ 20360

On this page

How the answer is calculated

We solve x2 = 20360. The resulting value is x = 142.6884718539.

Verification: 142.68847185392 ≈ 20360.

Simplified radical form

The square root of 20360 in simplified radical form is 2√5090.

This is equivalent to √20360, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20357142.6779590546
√20358142.6814634071
√20359142.6849676735
√20360142.6884718539
√20361142.6919759482
√20362142.6954799564
√20363142.6989838787

Number properties

Is 20360 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20360 is irrational because 20360 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 20360.