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What is the Square Root of 16784?

The square root of 16784 is 129.5530779256. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16784 = 129.5530779256
CalculatedNon-perfect squareIrrational
Exact form√16784
Perfect squareNo
Number typeIrrational
Verification129.55307792562 ≈ 16784

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How the answer is calculated

We solve x2 = 16784. The resulting value is x = 129.5530779256.

Verification: 129.55307792562 ≈ 16784.

Simplified radical form

The square root of 16784 in simplified radical form is 4√1049.

This is equivalent to √16784, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16781129.5414991422
√16782129.5453588516
√16783129.5492184461
√16784129.5530779256
√16785129.5569372901
√16786129.5607965397
√16787129.5646556743

Number properties

Is 16784 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16784 is irrational because 16784 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 16784.