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What is the Square Root of 1327?

The square root of 1327 is 36.4280112002. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1327 = 36.4280112002
CalculatedNon-perfect squareIrrational
Exact form√1327
Perfect squareNo
Number typeIrrational
Verification36.42801120022 ≈ 1327

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How the answer is calculated

We solve x2 = 1327. The resulting value is x = 36.4280112002.

Verification: 36.42801120022 ≈ 1327.

Simplified radical form

The square root of 1327 in simplified radical form is √1327.

There are no square factors that can be taken outside the radical, so √1327 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√132436.3868107973
√132536.4005494464
√132636.4142829121
√132736.4280112002
√132836.4417343166
√132936.4554522671
√133036.4691650576

Number properties

Is 1327 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1327 is irrational because 1327 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 1327.