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What is the Square Root of 1364?

The square root of 1364 is 36.9323706252. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1364 = 36.9323706252
CalculatedNon-perfect squareIrrational
Exact form√1364
Perfect squareNo
Number typeIrrational
Verification36.93237062522 ≈ 1364

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How the answer is calculated

We solve x2 = 1364. The resulting value is x = 36.9323706252.

Verification: 36.93237062522 ≈ 1364.

Simplified radical form

The square root of 1364 in simplified radical form is 2√341.

This is equivalent to √1364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√136136.8917334914
√136236.9052841745
√136336.9188298839
√136436.9323706252
√136536.9459064038
√136636.9594372252
√136736.9729630947

Number properties

Is 1364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1364 is irrational because 1364 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 1364.