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What is the Square Root of 1321?

The square root of 1321 is 36.3455636908. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1321 = 36.3455636908
CalculatedNon-perfect squareIrrational
Exact form√1321
Perfect squareNo
Number typeIrrational
Verification36.34556369082 ≈ 1321

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How the answer is calculated

We solve x2 = 1321. The resulting value is x = 36.3455636908.

Verification: 36.34556369082 ≈ 1321.

Simplified radical form

The square root of 1321 in simplified radical form is √1321.

There are no square factors that can be taken outside the radical, so √1321 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√131836.3042697213
√131936.3180395947
√132036.3318042492
√132136.3455636908
√132236.3593179254
√132336.3730669589
√132436.3868107973

Number properties

Is 1321 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1321 is irrational because 1321 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 1321.