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What is the Square Root of 13119?

The square root of 13119 is 114.5382032337. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13119 = 114.5382032337
CalculatedNon-perfect squareIrrational
Exact form√13119
Perfect squareNo
Number typeIrrational
Verification114.53820323372 ≈ 13119

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How the answer is calculated

We solve x2 = 13119. The resulting value is x = 114.5382032337.

Verification: 114.53820323372 ≈ 13119.

Simplified radical form

The square root of 13119 in simplified radical form is √13119.

There are no square factors that can be taken outside the radical, so √13119 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13116114.5251064178
√13117114.5294721895
√13118114.5338377948
√13119114.5382032337
√13120114.5425685062
√13121114.5469336124
√13122114.5512985522

Number properties

Is 13119 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13119 is irrational because 13119 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 13119.