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What is the Square Root of 13702?

The square root of 13702 is 117.055542372. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13702 = 117.055542372
CalculatedNon-perfect squareIrrational
Exact form√13702
Perfect squareNo
Number typeIrrational
Verification117.0555423722 ≈ 13702

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How the answer is calculated

We solve x2 = 13702. The resulting value is x = 117.055542372.

Verification: 117.0555423722 ≈ 13702.

Simplified radical form

The square root of 13702 in simplified radical form is √13702.

There are no square factors that can be taken outside the radical, so √13702 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13699117.042727241
√13700117.0469991072
√13701117.0512708175
√13702117.055542372
√13703117.0598137706
√13704117.0640850133
√13705117.0683561002

Number properties

Is 13702 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13702 is irrational because 13702 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 13702.