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What is the Square Root of 1340?

The square root of 1340 is 36.6060104354. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1340 = 36.6060104354
CalculatedNon-perfect squareIrrational
Exact form√1340
Perfect squareNo
Number typeIrrational
Verification36.60601043542 ≈ 1340

On this page

How the answer is calculated

We solve x2 = 1340. The resulting value is x = 36.6060104354.

Verification: 36.60601043542 ≈ 1340.

Simplified radical form

The square root of 1340 in simplified radical form is 2√335.

This is equivalent to √1340, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√133736.5650105976
√133836.5786823163
√133936.5923489271
√134036.6060104354
√134136.6196668472
√134236.633318168
√134336.6469644036

Number properties

Is 1340 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1340 is irrational because 1340 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 1340.