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What is the Square Root of 16828?

The square root of 16828 is 129.7227813455. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16828 = 129.7227813455
CalculatedNon-perfect squareIrrational
Exact form√16828
Perfect squareNo
Number typeIrrational
Verification129.72278134552 ≈ 16828

On this page

How the answer is calculated

We solve x2 = 16828. The resulting value is x = 129.7227813455.

Verification: 129.72278134552 ≈ 16828.

Simplified radical form

The square root of 16828 in simplified radical form is 2√4207.

This is equivalent to √16828, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16825129.7112177107
√16826129.7150723702
√16827129.7189269151
√16828129.7227813455
√16829129.7266356613
√16830129.7304898626
√16831129.7343439495

Number properties

Is 16828 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16828 is irrational because 16828 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 16828.