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What is the Square Root of 16842?

The square root of 16842 is 129.7767313504. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16842 = 129.7767313504
CalculatedNon-perfect squareIrrational
Exact form√16842
Perfect squareNo
Number typeIrrational
Verification129.77673135042 ≈ 16842

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How the answer is calculated

We solve x2 = 16842. The resulting value is x = 129.7767313504.

Verification: 129.77673135042 ≈ 16842.

Simplified radical form

The square root of 16842 in simplified radical form is √16842.

There are no square factors that can be taken outside the radical, so √16842 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16839129.7651725233
√16840129.7690255801
√16841129.7728785224
√16842129.7767313504
√16843129.780584064
√16844129.7844366633
√16845129.7882891481

Number properties

Is 16842 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16842 is irrational because 16842 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 16842.