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What is the Square Root of 16657?

The square root of 16657 is 129.0620006044. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16657 = 129.0620006044
CalculatedNon-perfect squareIrrational
Exact form√16657
Perfect squareNo
Number typeIrrational
Verification129.06200060442 ≈ 16657

On this page

How the answer is calculated

We solve x2 = 16657. The resulting value is x = 129.0620006044.

Verification: 129.06200060442 ≈ 16657.

Simplified radical form

The square root of 16657 in simplified radical form is √16657.

There are no square factors that can be taken outside the radical, so √16657 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16654129.05037776
√16655129.0542521578
√16656129.0581264392
√16657129.0620006044
√16658129.0658746532
√16659129.0697485858
√16660129.0736224021

Number properties

Is 16657 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16657 is irrational because 16657 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 16657.