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What is the Square Root of 16742?

The square root of 16742 is 129.3908806678. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16742 = 129.3908806678
CalculatedNon-perfect squareIrrational
Exact form√16742
Perfect squareNo
Number typeIrrational
Verification129.39088066782 ≈ 16742

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How the answer is calculated

We solve x2 = 16742. The resulting value is x = 129.3908806678.

Verification: 129.39088066782 ≈ 16742.

Simplified radical form

The square root of 16742 in simplified radical form is √16742.

There are no square factors that can be taken outside the radical, so √16742 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16739129.3792873686
√16740129.3831519171
√16741129.3870163502
√16742129.3908806678
√16743129.3947448701
√16744129.398608957
√16745129.4024729285

Number properties

Is 16742 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16742 is irrational because 16742 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 16742.