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What is the Square Root of 3412?

The square root of 3412 is 58.412327466. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3412 = 58.412327466
CalculatedNon-perfect squareIrrational
Exact form√3412
Perfect squareNo
Number typeIrrational
Verification58.4123274662 ≈ 3412

On this page

How the answer is calculated

We solve x2 = 3412. The resulting value is x = 58.412327466.

Verification: 58.4123274662 ≈ 3412.

Simplified radical form

The square root of 3412 in simplified radical form is 2√853.

This is equivalent to √3412, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√340958.386642308
√341058.3952052826
√341158.4037670018
√341258.412327466
√341358.4208866759
√341458.429444632
√341558.4380013347

Number properties

Is 3412 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3412 is irrational because 3412 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 3412.