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What is the Square Root of 3328?

The square root of 3328 is 57.6888204074. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3328 = 57.6888204074
CalculatedNon-perfect squareIrrational
Exact form√3328
Perfect squareNo
Number typeIrrational
Verification57.68882040742 ≈ 3328

On this page

How the answer is calculated

We solve x2 = 3328. The resulting value is x = 57.6888204074.

Verification: 57.68882040742 ≈ 3328.

Simplified radical form

The square root of 3328 in simplified radical form is 16√13.

This is equivalent to √3328, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal573249
Upper or equal583364

Nearby square roots

NumberSquare root
√332557.6628129734
√332657.6714834212
√332757.6801525657
√332857.6888204074
√332957.697486947
√333057.706152185
√333157.714816122

Number properties

Is 3328 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3328 is irrational because 3328 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 3328.