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What is the Square Root of 13700?

The square root of 13700 is 117.0469991072. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13700 = 117.0469991072
CalculatedNon-perfect squareIrrational
Exact form√13700
Perfect squareNo
Number typeIrrational
Verification117.04699910722 ≈ 13700

On this page

How the answer is calculated

We solve x2 = 13700. The resulting value is x = 117.0469991072.

Verification: 117.04699910722 ≈ 13700.

Simplified radical form

The square root of 13700 in simplified radical form is 10√137.

This is equivalent to √13700, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13697117.0341830407
√13698117.0384552188
√13699117.042727241
√13700117.0469991072
√13701117.0512708175
√13702117.055542372
√13703117.0598137706

Number properties

Is 13700 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13700 is irrational because 13700 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 13700.