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What is the Square Root of 441?

The square root of 441 is 21. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√441 = 21
ExactPerfect squareRational
Exact form21
Perfect squareYes
Number typeRational
Verification212 ≈ 441

On this page

How the answer is calculated

We solve x2 = 441. The resulting value is x = 21.

Verification: 212 ≈ 441.

Simplified radical form

The square root of 441 in simplified radical form is 21.

There are no square factors that can be taken outside the radical, so 21 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal21441

Nearby square roots

NumberSquare root
√43820.9284495365
√43920.9523268398
√44020.9761769634
√44121
√44221.0237960416
√44321.0475651798
√44421.0713075057

Number properties

Is 441 a perfect square?

Yes. Its square root is the whole number 21.

Is the square root rational or irrational?

21 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 441.