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What is the Square Root of 16864?

The square root of 16864 is 129.861464646. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16864 = 129.861464646
CalculatedNon-perfect squareIrrational
Exact form√16864
Perfect squareNo
Number typeIrrational
Verification129.8614646462 ≈ 16864

On this page

How the answer is calculated

We solve x2 = 16864. The resulting value is x = 129.861464646.

Verification: 129.8614646462 ≈ 16864.

Simplified radical form

The square root of 16864 in simplified radical form is 4√1054.

This is equivalent to √16864, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16861129.8499133615
√16862129.8537639039
√16863129.857614332
√16864129.861464646
√16865129.8653148458
√16866129.8691649315
√16867129.873014903

Number properties

Is 16864 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16864 is irrational because 16864 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 16864.