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What is the Square Root of 3393?

The square root of 3393 is 58.2494635168. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3393 = 58.2494635168
CalculatedNon-perfect squareIrrational
Exact form√3393
Perfect squareNo
Number typeIrrational
Verification58.24946351682 ≈ 3393

On this page

How the answer is calculated

We solve x2 = 3393. The resulting value is x = 58.2494635168.

Verification: 58.24946351682 ≈ 3393.

Simplified radical form

The square root of 3393 in simplified radical form is 3√377.

This is equivalent to √3393, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√339058.223706512
√339158.2322934462
√339258.2408791142
√339358.2494635168
√339458.2580466545
√339558.2666285278
√339658.2752091373

Number properties

Is 3393 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3393 is irrational because 3393 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 3393.