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What is the Square Root of 16771?

The square root of 16771 is 129.5028957205. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16771 = 129.5028957205
CalculatedNon-perfect squareIrrational
Exact form√16771
Perfect squareNo
Number typeIrrational
Verification129.50289572052 ≈ 16771

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How the answer is calculated

We solve x2 = 16771. The resulting value is x = 129.5028957205.

Verification: 129.50289572052 ≈ 16771.

Simplified radical form

The square root of 16771 in simplified radical form is √16771.

There are no square factors that can be taken outside the radical, so √16771 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16768129.4913124499
√16769129.4951736552
√16770129.4990347454
√16771129.5028957205
√16772129.5067565805
√16773129.5106173254
√16774129.5144779552

Number properties

Is 16771 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16771 is irrational because 16771 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 16771.