What is the Square Root of 13477?

The square root of 13477 is 116.0904819527. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13477 = 116.0904819527
CalculatedNon-perfect squareIrrational
Exact form√13477
Perfect squareNo
Number typeIrrational
Verification116.09048195272 ≈ 13477

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How the answer is calculated

We solve x2 = 13477. The resulting value is x = 116.0904819527.

Verification: 116.09048195272 ≈ 13477.

Simplified radical form

The square root of 13477 in simplified radical form is √13477.

There are no square factors that can be taken outside the radical, so √13477 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13474116.0775602776
√13475116.0818676624
√13476116.0861748875
√13477116.0904819527
√13478116.0947888581
√13479116.0990956037
√13480116.1034021896

Number properties

Is 13477 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13477 is irrational because 13477 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 13477.