What is the Square Root of 3429?

The square root of 3429 is 58.5576638878. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3429 = 58.5576638878
CalculatedNon-perfect squareIrrational
Exact form√3429
Perfect squareNo
Number typeIrrational
Verification58.55766388782 ≈ 3429

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How the answer is calculated

We solve x2 = 3429. The resulting value is x = 58.5576638878.

Verification: 58.55766388782 ≈ 3429.

Simplified radical form

The square root of 3429 in simplified radical form is 3√381.

This is equivalent to √3429, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√342658.5320425066
√342758.540584213
√342858.5491246732
√342958.5576638878
√343058.5662018574
√343158.5747385824
√343258.5832740635

Number properties

Is 3429 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3429 is irrational because 3429 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 3429.