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What is the Square Root of 3380?

The square root of 3380 is 58.137767415. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3380 = 58.137767415
CalculatedNon-perfect squareIrrational
Exact form√3380
Perfect squareNo
Number typeIrrational
Verification58.1377674152 ≈ 3380

On this page

How the answer is calculated

We solve x2 = 3380. The resulting value is x = 58.137767415.

Verification: 58.1377674152 ≈ 3380.

Simplified radical form

The square root of 3380 in simplified radical form is 26√5.

This is equivalent to √3380, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal583364
Upper or equal593481

Nearby square roots

NumberSquare root
√337758.1119609031
√337858.1205643469
√337958.1291665173
√338058.137767415
√338158.1463670404
√338258.1549653942
√338358.1635624769

Number properties

Is 3380 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3380 is irrational because 3380 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 3380.