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What is the Square Root of 1338?

The square root of 1338 is 36.5786823163. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1338 = 36.5786823163
CalculatedNon-perfect squareIrrational
Exact form√1338
Perfect squareNo
Number typeIrrational
Verification36.57868231632 ≈ 1338

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How the answer is calculated

We solve x2 = 1338. The resulting value is x = 36.5786823163.

Verification: 36.57868231632 ≈ 1338.

Simplified radical form

The square root of 1338 in simplified radical form is √1338.

There are no square factors that can be taken outside the radical, so √1338 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√133536.5376518129
√133636.551333765
√133736.5650105976
√133836.5786823163
√133936.5923489271
√134036.6060104354
√134136.6196668472

Number properties

Is 1338 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1338 is irrational because 1338 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 1338.