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What is the Square Root of 16397?

The square root of 16397 is 128.0507711808. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16397 = 128.0507711808
CalculatedNon-perfect squareIrrational
Exact form√16397
Perfect squareNo
Number typeIrrational
Verification128.05077118082 ≈ 16397

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How the answer is calculated

We solve x2 = 16397. The resulting value is x = 128.0507711808.

Verification: 128.05077118082 ≈ 16397.

Simplified radical form

The square root of 16397 in simplified radical form is √16397.

There are no square factors that can be taken outside the radical, so √16397 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16394128.0390565414
√16395128.0429615403
√16396128.0468664201
√16397128.0507711808
√16398128.0546758225
√16399128.0585803451
√16400128.0624847487

Number properties

Is 16397 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16397 is irrational because 16397 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 16397.