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What is the Square Root of 13383?

The square root of 13383 is 115.684916908. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13383 = 115.684916908
CalculatedNon-perfect squareIrrational
Exact form√13383
Perfect squareNo
Number typeIrrational
Verification115.6849169082 ≈ 13383

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How the answer is calculated

We solve x2 = 13383. The resulting value is x = 115.684916908.

Verification: 115.6849169082 ≈ 13383.

Simplified radical form

The square root of 13383 in simplified radical form is 3√1487.

This is equivalent to √13383, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13380115.6719499274
√13381115.6762724157
√13382115.6805947426
√13383115.684916908
√13384115.6892389118
√13385115.6935607543
√13386115.6978824352

Number properties

Is 13383 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13383 is irrational because 13383 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 13383.