What is the Square Root of 13673?

The square root of 13673 is 116.9316039401. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13673 = 116.9316039401
CalculatedNon-perfect squareIrrational
Exact form√13673
Perfect squareNo
Number typeIrrational
Verification116.93160394012 ≈ 13673

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How the answer is calculated

We solve x2 = 13673. The resulting value is x = 116.9316039401.

Verification: 116.93160394012 ≈ 13673.

Simplified radical form

The square root of 13673 in simplified radical form is 11√113.

This is equivalent to √13673, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13670116.9187752245
√13671116.9230516194
√13672116.9273278579
√13673116.9316039401
√13674116.9358798658
√13675116.9401556353
√13676116.9444312483

Number properties

Is 13673 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13673 is irrational because 13673 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 13673.