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What is the Square Root of 13166?

The square root of 13166 is 114.7431915191. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13166 = 114.7431915191
CalculatedNon-perfect squareIrrational
Exact form√13166
Perfect squareNo
Number typeIrrational
Verification114.74319151912 ≈ 13166

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How the answer is calculated

We solve x2 = 13166. The resulting value is x = 114.7431915191.

Verification: 114.74319151912 ≈ 13166.

Simplified radical form

The square root of 13166 in simplified radical form is √13166.

There are no square factors that can be taken outside the radical, so √13166 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13163114.7301181033
√13164114.7344760741
√13165114.7388338794
√13166114.7431915191
√13167114.7475489934
√13168114.7519063022
√13169114.7562634456

Number properties

Is 13166 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13166 is irrational because 13166 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 13166.