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What is the Square Root of 13617?

The square root of 13617 is 116.6919020327. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13617 = 116.6919020327
CalculatedNon-perfect squareIrrational
Exact form√13617
Perfect squareNo
Number typeIrrational
Verification116.69190203272 ≈ 13617

On this page

How the answer is calculated

We solve x2 = 13617. The resulting value is x = 116.6919020327.

Verification: 116.69190203272 ≈ 13617.

Simplified radical form

The square root of 13617 in simplified radical form is 3√1513.

This is equivalent to √13617, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13614116.6790469622
√13615116.683332143
√13616116.6876171665
√13617116.6919020327
√13618116.6961867415
√13619116.700471293
√13620116.7047556872

Number properties

Is 13617 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13617 is irrational because 13617 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 13617.