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What is the Square Root of 20771?

The square root of 20771 is 144.1214765398. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20771 = 144.1214765398
CalculatedNon-perfect squareIrrational
Exact form√20771
Perfect squareNo
Number typeIrrational
Verification144.12147653982 ≈ 20771

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How the answer is calculated

We solve x2 = 20771. The resulting value is x = 144.1214765398.

Verification: 144.12147653982 ≈ 20771.

Simplified radical form

The square root of 20771 in simplified radical form is √20771.

There are no square factors that can be taken outside the radical, so √20771 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20768144.1110682772
√20769144.1145377816
√20770144.1180072024
√20771144.1214765398
√20772144.1249457936
√20773144.1284149639
√20774144.1318840507

Number properties

Is 20771 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20771 is irrational because 20771 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 20771.