What is the Square Root of 1341?

The square root of 1341 is 36.6196668472. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1341 = 36.6196668472
CalculatedNon-perfect squareIrrational
Exact form√1341
Perfect squareNo
Number typeIrrational
Verification36.61966684722 ≈ 1341

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How the answer is calculated

We solve x2 = 1341. The resulting value is x = 36.6196668472.

Verification: 36.61966684722 ≈ 1341.

Simplified radical form

The square root of 1341 in simplified radical form is 3√149.

This is equivalent to √1341, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√133836.5786823163
√133936.5923489271
√134036.6060104354
√134136.6196668472
√134236.633318168
√134336.6469644036
√134436.6606055596

Number properties

Is 1341 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1341 is irrational because 1341 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 1341.