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What is the Square Root of 3424?

The square root of 3424 is 58.5149553533. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3424 = 58.5149553533
CalculatedNon-perfect squareIrrational
Exact form√3424
Perfect squareNo
Number typeIrrational
Verification58.51495535332 ≈ 3424

On this page

How the answer is calculated

We solve x2 = 3424. The resulting value is x = 58.5149553533.

Verification: 58.51495535332 ≈ 3424.

Simplified radical form

The square root of 3424 in simplified radical form is 4√214.

This is equivalent to √3424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√342158.4893152636
√342258.4978632088
√342358.5064099052
√342458.5149553533
√342558.5234995536
√342658.5320425066
√342758.540584213

Number properties

Is 3424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3424 is irrational because 3424 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 3424.