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What is the Square Root of 1319?

The square root of 1319 is 36.3180395947. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1319 = 36.3180395947
CalculatedNon-perfect squareIrrational
Exact form√1319
Perfect squareNo
Number typeIrrational
Verification36.31803959472 ≈ 1319

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How the answer is calculated

We solve x2 = 1319. The resulting value is x = 36.3180395947.

Verification: 36.31803959472 ≈ 1319.

Simplified radical form

The square root of 1319 in simplified radical form is √1319.

There are no square factors that can be taken outside the radical, so √1319 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√131636.2767142944
√131736.2904946232
√131836.3042697213
√131936.3180395947
√132036.3318042492
√132136.3455636908
√132236.3593179254

Number properties

Is 1319 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1319 is irrational because 1319 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 1319.