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What is the Square Root of 3408?

The square root of 3408 is 58.3780780773. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3408 = 58.3780780773
CalculatedNon-perfect squareIrrational
Exact form√3408
Perfect squareNo
Number typeIrrational
Verification58.37807807732 ≈ 3408

On this page

How the answer is calculated

We solve x2 = 3408. The resulting value is x = 58.3780780773.

Verification: 58.37807807732 ≈ 3408.

Simplified radical form

The square root of 3408 in simplified radical form is 4√213.

This is equivalent to √3408, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√340558.3523778436
√340658.3609458457
√340758.36951259
√340858.3780780773
√340958.386642308
√341058.3952052826
√341158.4037670018

Number properties

Is 3408 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3408 is irrational because 3408 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 3408.