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What is the Square Root of 2209?

The square root of 2209 is 47. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2209 = 47
ExactPerfect squareRational
Exact form47
Perfect squareYes
Number typeRational
Verification472 ≈ 2209

On this page

How the answer is calculated

We solve x2 = 2209. The resulting value is x = 47.

Verification: 472 ≈ 2209.

Simplified radical form

The square root of 2209 in simplified radical form is 47.

There are no square factors that can be taken outside the radical, so 47 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal472209
Upper or equal472209

Nearby square roots

NumberSquare root
√220646.9680742633
√220746.9787185862
√220846.9893604979
√220947
√221047.0106370942
√221147.021271782
√221247.0319040652

Number properties

Is 2209 a perfect square?

Yes. Its square root is the whole number 47.

Is the square root rational or irrational?

47 is rational because it is a whole number.

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 2209.