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What is the Square Root of 17829?

The square root of 17829 is 133.5252785056. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17829 = 133.5252785056
CalculatedNon-perfect squareIrrational
Exact form√17829
Perfect squareNo
Number typeIrrational
Verification133.52527850562 ≈ 17829

On this page

How the answer is calculated

We solve x2 = 17829. The resulting value is x = 133.5252785056.

Verification: 133.52527850562 ≈ 17829.

Simplified radical form

The square root of 17829 in simplified radical form is 3√1981.

This is equivalent to √17829, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17826133.5140442051
√17827133.517789077
√17828133.5215338438
√17829133.5252785056
√17830133.5290230624
√17831133.5327675142
√17832133.536511861

Number properties

Is 17829 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17829 is irrational because 17829 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 17829.