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What is the Square Root of 29296?

The square root of 29296 is 171.1607431627. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29296 = 171.1607431627
CalculatedNon-perfect squareIrrational
Exact form√29296
Perfect squareNo
Number typeIrrational
Verification171.16074316272 ≈ 29296

On this page

How the answer is calculated

We solve x2 = 29296. The resulting value is x = 171.1607431627.

Verification: 171.16074316272 ≈ 29296.

Simplified radical form

The square root of 29296 in simplified radical form is 4√1831.

This is equivalent to √29296, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29293171.1519792465
√29294171.1549006018
√29295171.1578219072
√29296171.1607431627
√29297171.1636643683
√29298171.1665855242
√29299171.1695066301

Number properties

Is 29296 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29296 is irrational because 29296 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 29296.