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What is the Square Root of 13382?

The square root of 13382 is 115.6805947426. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13382 = 115.6805947426
CalculatedNon-perfect squareIrrational
Exact form√13382
Perfect squareNo
Number typeIrrational
Verification115.68059474262 ≈ 13382

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How the answer is calculated

We solve x2 = 13382. The resulting value is x = 115.6805947426.

Verification: 115.68059474262 ≈ 13382.

Simplified radical form

The square root of 13382 in simplified radical form is √13382.

There are no square factors that can be taken outside the radical, so √13382 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13379115.6676272775
√13380115.6719499274
√13381115.6762724157
√13382115.6805947426
√13383115.684916908
√13384115.6892389118
√13385115.6935607543

Number properties

Is 13382 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13382 is irrational because 13382 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 13382.