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What is the Square Root of 3361?

The square root of 3361 is 57.9741321625. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3361 = 57.9741321625
CalculatedNon-perfect squareIrrational
Exact form√3361
Perfect squareNo
Number typeIrrational
Verification57.97413216252 ≈ 3361

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How the answer is calculated

We solve x2 = 3361. The resulting value is x = 57.9741321625.

Verification: 57.97413216252 ≈ 3361.

Simplified radical form

The square root of 3361 in simplified radical form is √3361.

There are no square factors that can be taken outside the radical, so √3361 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal573249
Upper or equal583364

Nearby square roots

NumberSquare root
√335857.9482527778
√335957.9568805234
√336057.9655069848
√336157.9741321625
√336257.9827560573
√336357.9913786696
√336458

Number properties

Is 3361 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3361 is irrational because 3361 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 3361.