What is the Square Root of 13374?

The square root of 13374 is 115.6460116044. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13374 = 115.6460116044
CalculatedNon-perfect squareIrrational
Exact form√13374
Perfect squareNo
Number typeIrrational
Verification115.64601160442 ≈ 13374

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How the answer is calculated

We solve x2 = 13374. The resulting value is x = 115.6460116044.

Verification: 115.64601160442 ≈ 13374.

Simplified radical form

The square root of 13374 in simplified radical form is 3√1486.

This is equivalent to √13374, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13371115.633040261
√13372115.6373642038
√13373115.6416879849
√13374115.6460116044
√13375115.6503350622
√13376115.6546583584
√13377115.658981493

Number properties

Is 13374 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13374 is irrational because 13374 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 13374.