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What is the Square Root of 1360?

The square root of 1360 is 36.8781778292. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1360 = 36.8781778292
CalculatedNon-perfect squareIrrational
Exact form√1360
Perfect squareNo
Number typeIrrational
Verification36.87817782922 ≈ 1360

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How the answer is calculated

We solve x2 = 1360. The resulting value is x = 36.8781778292.

Verification: 36.87817782922 ≈ 1360.

Simplified radical form

The square root of 1360 in simplified radical form is 4√85.

This is equivalent to √1360, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√135736.8374809128
√135836.8510515454
√135936.8646171823
√136036.8781778292
√136136.8917334914
√136236.9052841745
√136336.9188298839

Number properties

Is 1360 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1360 is irrational because 1360 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 1360.