What is the Square Root of 16839?

The square root of 16839 is 129.7651725233. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16839 = 129.7651725233
CalculatedNon-perfect squareIrrational
Exact form√16839
Perfect squareNo
Number typeIrrational
Verification129.76517252332 ≈ 16839

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How the answer is calculated

We solve x2 = 16839. The resulting value is x = 129.7651725233.

Verification: 129.76517252332 ≈ 16839.

Simplified radical form

The square root of 16839 in simplified radical form is 3√1871.

This is equivalent to √16839, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16836129.7536126665
√16837129.7574660665
√16838129.7613193521
√16839129.7651725233
√16840129.7690255801
√16841129.7728785224
√16842129.7767313504

Number properties

Is 16839 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16839 is irrational because 16839 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 16839.