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What is the Square Root of 16788?

The square root of 16788 is 129.568514694. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16788 = 129.568514694
CalculatedNon-perfect squareIrrational
Exact form√16788
Perfect squareNo
Number typeIrrational
Verification129.5685146942 ≈ 16788

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How the answer is calculated

We solve x2 = 16788. The resulting value is x = 129.568514694.

Verification: 129.5685146942 ≈ 16788.

Simplified radical form

The square root of 16788 in simplified radical form is 2√4197.

This is equivalent to √16788, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16785129.5569372901
√16786129.5607965397
√16787129.5646556743
√16788129.568514694
√16789129.5723735987
√16790129.5762323885
√16791129.5800910634

Number properties

Is 16788 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16788 is irrational because 16788 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 16788.