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What is the Square Root of 16738?

The square root of 16738 is 129.3754227046. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16738 = 129.3754227046
CalculatedNon-perfect squareIrrational
Exact form√16738
Perfect squareNo
Number typeIrrational
Verification129.37542270462 ≈ 16738

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How the answer is calculated

We solve x2 = 16738. The resulting value is x = 129.3754227046.

Verification: 129.37542270462 ≈ 16738.

Simplified radical form

The square root of 16738 in simplified radical form is √16738.

There are no square factors that can be taken outside the radical, so √16738 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16735129.36382802
√16736129.3676930304
√16737129.3715579252
√16738129.3754227046
√16739129.3792873686
√16740129.3831519171
√16741129.3870163502

Number properties

Is 16738 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16738 is irrational because 16738 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 16738.