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What is the Square Root of 13165?

The square root of 13165 is 114.7388338794. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13165 = 114.7388338794
CalculatedNon-perfect squareIrrational
Exact form√13165
Perfect squareNo
Number typeIrrational
Verification114.73883387942 ≈ 13165

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How the answer is calculated

We solve x2 = 13165. The resulting value is x = 114.7388338794.

Verification: 114.73883387942 ≈ 13165.

Simplified radical form

The square root of 13165 in simplified radical form is √13165.

There are no square factors that can be taken outside the radical, so √13165 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13162114.725759967
√13163114.7301181033
√13164114.7344760741
√13165114.7388338794
√13166114.7431915191
√13167114.7475489934
√13168114.7519063022

Number properties

Is 13165 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13165 is irrational because 13165 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 13165.