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What is the Square Root of 20768?

The square root of 20768 is 144.1110682772. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20768 = 144.1110682772
CalculatedNon-perfect squareIrrational
Exact form√20768
Perfect squareNo
Number typeIrrational
Verification144.11106827722 ≈ 20768

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How the answer is calculated

We solve x2 = 20768. The resulting value is x = 144.1110682772.

Verification: 144.11106827722 ≈ 20768.

Simplified radical form

The square root of 20768 in simplified radical form is 4√1298.

This is equivalent to √20768, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20765144.1006592629
√20766144.1041290179
√20767144.1075986893
√20768144.1110682772
√20769144.1145377816
√20770144.1180072024
√20771144.1214765398

Number properties

Is 20768 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20768 is irrational because 20768 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 20768.