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What is the Square Root of 1331?

The square root of 1331 is 36.4828726939. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1331 = 36.4828726939
CalculatedNon-perfect squareIrrational
Exact form√1331
Perfect squareNo
Number typeIrrational
Verification36.48287269392 ≈ 1331

On this page

How the answer is calculated

We solve x2 = 1331. The resulting value is x = 36.4828726939.

Verification: 36.48287269392 ≈ 1331.

Simplified radical form

The square root of 1331 in simplified radical form is 11√11.

This is equivalent to √1331, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√132836.4417343166
√132936.4554522671
√133036.4691650576
√133136.4828726939
√133236.4965751818
√133336.5102725271
√133436.5239647355

Number properties

Is 1331 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1331 is irrational because 1331 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 1331.