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What is the Square Root of 13438?

The square root of 13438 is 115.9223878291. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13438 = 115.9223878291
CalculatedNon-perfect squareIrrational
Exact form√13438
Perfect squareNo
Number typeIrrational
Verification115.92238782912 ≈ 13438

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How the answer is calculated

We solve x2 = 13438. The resulting value is x = 115.9223878291.

Verification: 115.92238782912 ≈ 13438.

Simplified radical form

The square root of 13438 in simplified radical form is √13438.

There are no square factors that can be taken outside the radical, so √13438 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13435115.9094474148
√13436115.9137610467
√13437115.9180745182
√13438115.9223878291
√13439115.9267009795
√13440115.9310139695
√13441115.935326799

Number properties

Is 13438 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13438 is irrational because 13438 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 13438.