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What is the Square Root of 13314?

The square root of 13314 is 115.3863076799. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13314 = 115.3863076799
CalculatedNon-perfect squareIrrational
Exact form√13314
Perfect squareNo
Number typeIrrational
Verification115.38630767992 ≈ 13314

On this page

How the answer is calculated

We solve x2 = 13314. The resulting value is x = 115.3863076799.

Verification: 115.38630767992 ≈ 13314.

Simplified radical form

The square root of 13314 in simplified radical form is √13314.

There are no square factors that can be taken outside the radical, so √13314 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13311115.3733071382
√13312115.3776408148
√13313115.3819743287
√13314115.3863076799
√13315115.3906408683
√13316115.394973894
√13317115.399306757

Number properties

Is 13314 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13314 is irrational because 13314 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 13314.