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What is the Square Root of 3404?

The square root of 3404 is 58.3438085833. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3404 = 58.3438085833
CalculatedNon-perfect squareIrrational
Exact form√3404
Perfect squareNo
Number typeIrrational
Verification58.34380858332 ≈ 3404

On this page

How the answer is calculated

We solve x2 = 3404. The resulting value is x = 58.3438085833.

Verification: 58.34380858332 ≈ 3404.

Simplified radical form

The square root of 3404 in simplified radical form is 2√851.

This is equivalent to √3404, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√340158.3180932473
√340258.3266662857
√340358.3352380641
√340458.3438085833
√340558.3523778436
√340658.3609458457
√340758.36951259

Number properties

Is 3404 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3404 is irrational because 3404 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 3404.