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What is the Square Root of 2241?

The square root of 2241 is 47.3392015142. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√2241 = 47.3392015142
CalculatedNon-perfect squareIrrational
Exact form√2241
Perfect squareNo
Number typeIrrational
Verification47.33920151422 ≈ 2241

On this page

How the answer is calculated

We solve x2 = 2241. The resulting value is x = 47.3392015142.

Verification: 47.33920151422 ≈ 2241.

Simplified radical form

The square root of 2241 in simplified radical form is 3√249.

This is equivalent to √2241, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal472209
Upper or equal482304

Nearby square roots

NumberSquare root
√223847.3075046901
√223947.3180726573
√224047.3286382648
√224147.3392015142
√224247.349762407
√224347.3603209449
√224447.3708771293

Number properties

Is 2241 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√2241 is irrational because 2241 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 2241.