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What is the Square Root of 13676?

The square root of 13676 is 116.9444312483. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13676 = 116.9444312483
CalculatedNon-perfect squareIrrational
Exact form√13676
Perfect squareNo
Number typeIrrational
Verification116.94443124832 ≈ 13676

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How the answer is calculated

We solve x2 = 13676. The resulting value is x = 116.9444312483.

Verification: 116.94443124832 ≈ 13676.

Simplified radical form

The square root of 13676 in simplified radical form is 2√3419.

This is equivalent to √13676, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13673116.9316039401
√13674116.9358798658
√13675116.9401556353
√13676116.9444312483
√13677116.9487067051
√13678116.9529820056
√13679116.9572571498

Number properties

Is 13676 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13676 is irrational because 13676 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 13676.