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What is the Square Root of 1365?

The square root of 1365 is 36.9459064038. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1365 = 36.9459064038
CalculatedNon-perfect squareIrrational
Exact form√1365
Perfect squareNo
Number typeIrrational
Verification36.94590640382 ≈ 1365

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How the answer is calculated

We solve x2 = 1365. The resulting value is x = 36.9459064038.

Verification: 36.94590640382 ≈ 1365.

Simplified radical form

The square root of 1365 in simplified radical form is √1365.

There are no square factors that can be taken outside the radical, so √1365 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√136236.9052841745
√136336.9188298839
√136436.9323706252
√136536.9459064038
√136636.9594372252
√136736.9729630947
√136836.9864840178

Number properties

Is 1365 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1365 is irrational because 1365 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 1365.