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What is the Square Root of 16345?

The square root of 16345 is 127.8475654833. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16345 = 127.8475654833
CalculatedNon-perfect squareIrrational
Exact form√16345
Perfect squareNo
Number typeIrrational
Verification127.84756548332 ≈ 16345

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How the answer is calculated

We solve x2 = 16345. The resulting value is x = 127.8475654833.

Verification: 127.84756548332 ≈ 16345.

Simplified radical form

The square root of 16345 in simplified radical form is √16345.

There are no square factors that can be taken outside the radical, so √16345 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16342127.8358322224
√16343127.839743429
√16344127.843654516
√16345127.8475654833
√16346127.8514763309
√16347127.855387059
√16348127.8592976674

Number properties

Is 16345 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16345 is irrational because 16345 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 16345.