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What is the Square Root of 13209?

The square root of 13209 is 114.9304137294. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13209 = 114.9304137294
CalculatedNon-perfect squareIrrational
Exact form√13209
Perfect squareNo
Number typeIrrational
Verification114.93041372942 ≈ 13209

On this page

How the answer is calculated

We solve x2 = 13209. The resulting value is x = 114.9304137294.

Verification: 114.93041372942 ≈ 13209.

Simplified radical form

The square root of 13209 in simplified radical form is √13209.

There are no square factors that can be taken outside the radical, so √13209 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13206114.9173616126
√13207114.9217124829
√13208114.9260631885
√13209114.9304137294
√13210114.9347641056
√13211114.9391143171
√13212114.943464364

Number properties

Is 13209 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13209 is irrational because 13209 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 13209.