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What is the Square Root of 20397?

The square root of 20397 is 142.8180660841. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20397 = 142.8180660841
CalculatedNon-perfect squareIrrational
Exact form√20397
Perfect squareNo
Number typeIrrational
Verification142.81806608412 ≈ 20397

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How the answer is calculated

We solve x2 = 20397. The resulting value is x = 142.8180660841.

Verification: 142.81806608412 ≈ 20397.

Simplified radical form

The square root of 20397 in simplified radical form is √20397.

There are no square factors that can be taken outside the radical, so √20397 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20394142.8075628249
√20395142.8110639972
√20396142.8145650835
√20397142.8180660841
√20398142.8215669988
√20399142.8250678277
√20400142.8285685709

Number properties

Is 20397 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20397 is irrational because 20397 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 20397.