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What is the Square Root of 13378?

The square root of 13378 is 115.663304466. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13378 = 115.663304466
CalculatedNon-perfect squareIrrational
Exact form√13378
Perfect squareNo
Number typeIrrational
Verification115.6633044662 ≈ 13378

On this page

How the answer is calculated

We solve x2 = 13378. The resulting value is x = 115.663304466.

Verification: 115.6633044662 ≈ 13378.

Simplified radical form

The square root of 13378 in simplified radical form is √13378.

There are no square factors that can be taken outside the radical, so √13378 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13375115.6503350622
√13376115.6546583584
√13377115.658981493
√13378115.663304466
√13379115.6676272775
√13380115.6719499274
√13381115.6762724157

Number properties

Is 13378 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13378 is irrational because 13378 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 13378.