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What is the Square Root of 13684?

The square root of 13684 is 116.9786305271. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13684 = 116.9786305271
CalculatedNon-perfect squareIrrational
Exact form√13684
Perfect squareNo
Number typeIrrational
Verification116.97863052712 ≈ 13684

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How the answer is calculated

We solve x2 = 13684. The resulting value is x = 116.9786305271.

Verification: 116.97863052712 ≈ 13684.

Simplified radical form

The square root of 13684 in simplified radical form is 2√3421.

This is equivalent to √13684, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13681116.9658069694
√13682116.9700816448
√13683116.9743561641
√13684116.9786305271
√13685116.982904734
√13686116.9871787847
√13687116.9914526792

Number properties

Is 13684 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13684 is irrational because 13684 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 13684.