What is the Square Root of 16684?

The square root of 16684 is 129.1665591397. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16684 = 129.1665591397
CalculatedNon-perfect squareIrrational
Exact form√16684
Perfect squareNo
Number typeIrrational
Verification129.16655913972 ≈ 16684

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How the answer is calculated

We solve x2 = 16684. The resulting value is x = 129.1665591397.

Verification: 129.16655913972 ≈ 16684.

Simplified radical form

The square root of 16684 in simplified radical form is 2√4171.

This is equivalent to √16684, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16681129.1549457048
√16682129.1588169658
√16683129.1626881108
√16684129.1665591397
√16685129.1704300527
√16686129.1743008497
√16687129.1781715306

Number properties

Is 16684 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16684 is irrational because 16684 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 16684.