What is the Square Root of 3398?

The square root of 3398 is 58.2923665672. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3398 = 58.2923665672
CalculatedNon-perfect squareIrrational
Exact form√3398
Perfect squareNo
Number typeIrrational
Verification58.29236656722 ≈ 3398

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How the answer is calculated

We solve x2 = 3398. The resulting value is x = 58.2923665672.

Verification: 58.29236656722 ≈ 3398.

Simplified radical form

The square root of 3398 in simplified radical form is √3398.

There are no square factors that can be taken outside the radical, so √3398 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√339558.2666285278
√339658.2752091373
√339758.2837884836
√339858.2923665672
√339958.3009433886
√340058.3095189485
√340158.3180932473

Number properties

Is 3398 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3398 is irrational because 3398 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 3398.