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What is the Square Root of 13828?

The square root of 13828 is 117.5925167687. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13828 = 117.5925167687
CalculatedNon-perfect squareIrrational
Exact form√13828
Perfect squareNo
Number typeIrrational
Verification117.59251676872 ≈ 13828

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How the answer is calculated

We solve x2 = 13828. The resulting value is x = 117.5925167687.

Verification: 117.59251676872 ≈ 13828.

Simplified radical form

The square root of 13828 in simplified radical form is 2√3457.

This is equivalent to √13828, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13825117.579760163
√13826117.5840125187
√13827117.5882647206
√13828117.5925167687
√13829117.5967686631
√13830117.6010204037
√13831117.6052719907

Number properties

Is 13828 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13828 is irrational because 13828 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 13828.