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What is the Square Root of 20293?

The square root of 20293 is 142.4535011855. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20293 = 142.4535011855
CalculatedNon-perfect squareIrrational
Exact form√20293
Perfect squareNo
Number typeIrrational
Verification142.45350118552 ≈ 20293

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How the answer is calculated

We solve x2 = 20293. The resulting value is x = 142.4535011855.

Verification: 142.45350118552 ≈ 20293.

Simplified radical form

The square root of 20293 in simplified radical form is √20293.

There are no square factors that can be taken outside the radical, so √20293 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20290142.4429710446
√20291142.446481178
√20292142.449991225
√20293142.4535011855
√20294142.4570110595
√20295142.460520847
√20296142.4640305481

Number properties

Is 20293 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20293 is irrational because 20293 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 20293.