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What is the Square Root of 29289?

The square root of 29289 is 171.1402933268. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29289 = 171.1402933268
CalculatedNon-perfect squareIrrational
Exact form√29289
Perfect squareNo
Number typeIrrational
Verification171.14029332682 ≈ 29289

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How the answer is calculated

We solve x2 = 29289. The resulting value is x = 171.1402933268.

Verification: 171.14029332682 ≈ 29289.

Simplified radical form

The square root of 29289 in simplified radical form is √29289.

There are no square factors that can be taken outside the radical, so √29289 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29286171.1315283634
√29287171.1344500678
√29288171.1373717223
√29289171.1402933268
√29290171.1432148816
√29291171.1461363864
√29292171.1490578414

Number properties

Is 29289 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29289 is irrational because 29289 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 29289.