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What is the Square Root of 16768?

The square root of 16768 is 129.4913124499. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16768 = 129.4913124499
CalculatedNon-perfect squareIrrational
Exact form√16768
Perfect squareNo
Number typeIrrational
Verification129.49131244992 ≈ 16768

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How the answer is calculated

We solve x2 = 16768. The resulting value is x = 129.4913124499.

Verification: 129.49131244992 ≈ 16768.

Simplified radical form

The square root of 16768 in simplified radical form is 8√262.

This is equivalent to √16768, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16765129.4797281431
√16766129.4835896938
√16767129.4874511294
√16768129.4913124499
√16769129.4951736552
√16770129.4990347454
√16771129.5028957205

Number properties

Is 16768 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16768 is irrational because 16768 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 16768.