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What is the Square Root of 13177?

The square root of 13177 is 114.7911146387. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13177 = 114.7911146387
CalculatedNon-perfect squareIrrational
Exact form√13177
Perfect squareNo
Number typeIrrational
Verification114.79111463872 ≈ 13177

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How the answer is calculated

We solve x2 = 13177. The resulting value is x = 114.7911146387.

Verification: 114.79111463872 ≈ 13177.

Simplified radical form

The square root of 13177 in simplified radical form is √13177.

There are no square factors that can be taken outside the radical, so √13177 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13174114.7780466814
√13175114.7824028325
√13176114.7867588183
√13177114.7911146387
√13178114.7954702939
√13179114.7998257838
√13180114.8041811085

Number properties

Is 13177 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13177 is irrational because 13177 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 13177.