What is the Square Root of 3340?

The square root of 3340 is 57.7927331072. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3340 = 57.7927331072
CalculatedNon-perfect squareIrrational
Exact form√3340
Perfect squareNo
Number typeIrrational
Verification57.79273310722 ≈ 3340

On this page

How the answer is calculated

We solve x2 = 3340. The resulting value is x = 57.7927331072.

Verification: 57.79273310722 ≈ 3340.

Simplified radical form

The square root of 3340 in simplified radical form is 2√835.

This is equivalent to √3340, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal573249
Upper or equal583364

Nearby square roots

NumberSquare root
√333757.7667724561
√333857.7754273026
√333957.7840808528
√334057.7927331072
√334157.8013840665
√334257.8100337312
√334357.8186821019

Number properties

Is 3340 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3340 is irrational because 3340 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 3340.