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What is the Square Root of 13738?

The square root of 13738 is 117.2092146548. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13738 = 117.2092146548
CalculatedNon-perfect squareIrrational
Exact form√13738
Perfect squareNo
Number typeIrrational
Verification117.20921465482 ≈ 13738

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How the answer is calculated

We solve x2 = 13738. The resulting value is x = 117.2092146548.

Verification: 117.20921465482 ≈ 13738.

Simplified radical form

The square root of 13738 in simplified radical form is √13738.

There are no square factors that can be taken outside the radical, so √13738 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13735117.1964163275
√13736117.2006825919
√13737117.204948701
√13738117.2092146548
√13739117.2134804534
√13740117.2177460967
√13741117.2220115849

Number properties

Is 13738 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13738 is irrational because 13738 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 13738.