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What is the Square Root of 13171?

The square root of 13171 is 114.7649772361. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13171 = 114.7649772361
CalculatedNon-perfect squareIrrational
Exact form√13171
Perfect squareNo
Number typeIrrational
Verification114.76497723612 ≈ 13171

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How the answer is calculated

We solve x2 = 13171. The resulting value is x = 114.7649772361.

Verification: 114.76497723612 ≈ 13171.

Simplified radical form

The square root of 13171 in simplified radical form is √13171.

There are no square factors that can be taken outside the radical, so √13171 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13168114.7519063022
√13169114.7562634456
√13170114.7606204236
√13171114.7649772361
√13172114.7693338832
√13173114.773690365
√13174114.7780466814

Number properties

Is 13171 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13171 is irrational because 13171 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 13171.