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What is the Square Root of 16757?

The square root of 16757 is 129.4488315899. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16757 = 129.4488315899
CalculatedNon-perfect squareIrrational
Exact form√16757
Perfect squareNo
Number typeIrrational
Verification129.44883158992 ≈ 16757

On this page

How the answer is calculated

We solve x2 = 16757. The resulting value is x = 129.4488315899.

Verification: 129.44883158992 ≈ 16757.

Simplified radical form

The square root of 16757 in simplified radical form is √16757.

There are no square factors that can be taken outside the radical, so √16757 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16754129.4372434812
√16755129.4411062994
√16756129.4449690023
√16757129.4488315899
√16758129.4526940623
√16759129.4565564195
√16760129.4604186615

Number properties

Is 16757 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16757 is irrational because 16757 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 16757.