What is the Square Root of 29264?

The square root of 29264 is 171.0672382427. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29264 = 171.0672382427
CalculatedNon-perfect squareIrrational
Exact form√29264
Perfect squareNo
Number typeIrrational
Verification171.06723824272 ≈ 29264

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How the answer is calculated

We solve x2 = 29264. The resulting value is x = 171.0672382427.

Verification: 171.06723824272 ≈ 29264.

Simplified radical form

The square root of 29264 in simplified radical form is 4√1829.

This is equivalent to √29264, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29261171.058469536
√29262171.0613924882
√29263171.0643153904
√29264171.0672382427
√29265171.0701610451
√29266171.0730837975
√29267171.0760065

Number properties

Is 29264 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29264 is irrational because 29264 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 29264.