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What is the Square Root of 16382?

The square root of 16382 is 127.9921872616. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16382 = 127.9921872616
CalculatedNon-perfect squareIrrational
Exact form√16382
Perfect squareNo
Number typeIrrational
Verification127.99218726162 ≈ 16382

On this page

How the answer is calculated

We solve x2 = 16382. The resulting value is x = 127.9921872616.

Verification: 127.99218726162 ≈ 16382.

Simplified radical form

The square root of 16382 in simplified radical form is √16382.

There are no square factors that can be taken outside the radical, so √16382 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16379127.9804672597
√16380127.9843740462
√16381127.9882807135
√16382127.9921872616
√16383127.9960936904
√16384128
√16385128.0039061904

Number properties

Is 16382 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16382 is irrational because 16382 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 16382.