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What is the Square Root of 13625?

The square root of 13625 is 116.7261752993. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13625 = 116.7261752993
CalculatedNon-perfect squareIrrational
Exact form√13625
Perfect squareNo
Number typeIrrational
Verification116.72617529932 ≈ 13625

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How the answer is calculated

We solve x2 = 13625. The resulting value is x = 116.7261752993.

Verification: 116.72617529932 ≈ 13625.

Simplified radical form

The square root of 13625 in simplified radical form is 5√545.

This is equivalent to √13625, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13622116.7133240037
√13623116.7176079261
√13624116.7218916913
√13625116.7261752993
√13626116.7304587501
√13627116.7347420437
√13628116.7390251801

Number properties

Is 13625 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13625 is irrational because 13625 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 13625.