What is the Square Root of 3316?

The square root of 3316 is 57.5847201956. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3316 = 57.5847201956
CalculatedNon-perfect squareIrrational
Exact form√3316
Perfect squareNo
Number typeIrrational
Verification57.58472019562 ≈ 3316

On this page

How the answer is calculated

We solve x2 = 3316. The resulting value is x = 57.5847201956.

Verification: 57.58472019562 ≈ 3316.

Simplified radical form

The square root of 3316 in simplified radical form is 2√829.

This is equivalent to √3316, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal573249
Upper or equal583364

Nearby square roots

NumberSquare root
√331357.5586657246
√331457.5673518585
√331557.5760366819
√331657.5847201956
√331757.5934023999
√331857.6020832957
√331957.6107628833

Number properties

Is 3316 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3316 is irrational because 3316 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 3316.