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What is the Square Root of 13023?

The square root of 13023 is 114.1183596097. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13023 = 114.1183596097
CalculatedNon-perfect squareIrrational
Exact form√13023
Perfect squareNo
Number typeIrrational
Verification114.11835960972 ≈ 13023

On this page

How the answer is calculated

We solve x2 = 13023. The resulting value is x = 114.1183596097.

Verification: 114.11835960972 ≈ 13023.

Simplified radical form

The square root of 13023 in simplified radical form is 3√1447.

This is equivalent to √13023, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13020114.1052146048
√13021114.1095964413
√13022114.1139781096
√13023114.1183596097
√13024114.1227409415
√13025114.1271221051
√13026114.1315031006

Number properties

Is 13023 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13023 is irrational because 13023 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 13023.