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What is the Square Root of 13117?

The square root of 13117 is 114.5294721895. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13117 = 114.5294721895
CalculatedNon-perfect squareIrrational
Exact form√13117
Perfect squareNo
Number typeIrrational
Verification114.52947218952 ≈ 13117

On this page

How the answer is calculated

We solve x2 = 13117. The resulting value is x = 114.5294721895.

Verification: 114.52947218952 ≈ 13117.

Simplified radical form

The square root of 13117 in simplified radical form is √13117.

There are no square factors that can be taken outside the radical, so √13117 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13114114.516374375
√13115114.5207404796
√13116114.5251064178
√13117114.5294721895
√13118114.5338377948
√13119114.5382032337
√13120114.5425685062

Number properties

Is 13117 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13117 is irrational because 13117 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 13117.