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What is the Square Root of 13318?

The square root of 13318 is 115.4036394573. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13318 = 115.4036394573
CalculatedNon-perfect squareIrrational
Exact form√13318
Perfect squareNo
Number typeIrrational
Verification115.40363945732 ≈ 13318

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How the answer is calculated

We solve x2 = 13318. The resulting value is x = 115.4036394573.

Verification: 115.40363945732 ≈ 13318.

Simplified radical form

The square root of 13318 in simplified radical form is √13318.

There are no square factors that can be taken outside the radical, so √13318 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13315115.3906408683
√13316115.394973894
√13317115.399306757
√13318115.4036394573
√13319115.407971995
√13320115.41230437
√13321115.4166365824

Number properties

Is 13318 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13318 is irrational because 13318 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 13318.