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What is the Square Root of 13204?

The square root of 13204 is 114.9086593778. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13204 = 114.9086593778
CalculatedNon-perfect squareIrrational
Exact form√13204
Perfect squareNo
Number typeIrrational
Verification114.90865937782 ≈ 13204

On this page

How the answer is calculated

We solve x2 = 13204. The resulting value is x = 114.9086593778.

Verification: 114.90865937782 ≈ 13204.

Simplified radical form

The square root of 13204 in simplified radical form is 2√3301.

This is equivalent to √13204, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13201114.8956047897
√13202114.8999564839
√13203114.9043080132
√13204114.9086593778
√13205114.9130105776
√13206114.9173616126
√13207114.9217124829

Number properties

Is 13204 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13204 is irrational because 13204 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 13204.