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What is the Square Root of 16289?

The square root of 16289 is 127.6283667529. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16289 = 127.6283667529
CalculatedNon-perfect squareIrrational
Exact form√16289
Perfect squareNo
Number typeIrrational
Verification127.62836675292 ≈ 16289

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How the answer is calculated

We solve x2 = 16289. The resulting value is x = 127.6283667529.

Verification: 127.62836675292 ≈ 16289.

Simplified radical form

The square root of 16289 in simplified radical form is √16289.

There are no square factors that can be taken outside the radical, so √16289 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16286127.6166133385
√16287127.6205312636
√16288127.6244490684
√16289127.6283667529
√16290127.6322843171
√16291127.6362017611
√16292127.6401190849

Number properties

Is 16289 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16289 is irrational because 16289 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 16289.