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What is the Square Root of 13909?

The square root of 13909 is 117.936423551. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13909 = 117.936423551
CalculatedNon-perfect squareIrrational
Exact form√13909
Perfect squareNo
Number typeIrrational
Verification117.9364235512 ≈ 13909

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How the answer is calculated

We solve x2 = 13909. The resulting value is x = 117.936423551.

Verification: 117.9364235512 ≈ 13909.

Simplified radical form

The square root of 13909 in simplified radical form is √13909.

There are no square factors that can be taken outside the radical, so √13909 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13906117.9237041481
√13907117.9279441015
√13908117.9321839024
√13909117.936423551
√13910117.9406630471
√13911117.9449023909
√13912117.9491415823

Number properties

Is 13909 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13909 is irrational because 13909 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 13909.