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What is the Square Root of 16357?

The square root of 16357 is 127.8944877624. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16357 = 127.8944877624
CalculatedNon-perfect squareIrrational
Exact form√16357
Perfect squareNo
Number typeIrrational
Verification127.89448776242 ≈ 16357

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How the answer is calculated

We solve x2 = 16357. The resulting value is x = 127.8944877624.

Verification: 127.89448776242 ≈ 16357.

Simplified radical form

The square root of 16357 in simplified radical form is √16357.

There are no square factors that can be taken outside the radical, so √16357 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16354127.8827588067
√16355127.8866685781
√16356127.89057823
√16357127.8944877624
√16358127.8983971753
√16359127.9023064686
√16360127.9062156426

Number properties

Is 16357 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16357 is irrational because 16357 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 16357.