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What is the Square Root of 29456?

The square root of 29456 is 171.6275036234. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29456 = 171.6275036234
CalculatedNon-perfect squareIrrational
Exact form√29456
Perfect squareNo
Number typeIrrational
Verification171.62750362342 ≈ 29456

On this page

How the answer is calculated

We solve x2 = 29456. The resulting value is x = 171.6275036234.

Verification: 171.62750362342 ≈ 29456.

Simplified radical form

The square root of 29456 in simplified radical form is 4√1841.

This is equivalent to √29456, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29453171.6187635429
√29454171.6216769525
√29455171.6245903127
√29456171.6275036234
√29457171.6304168847
√29458171.6333300965
√29459171.6362432588

Number properties

Is 29456 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29456 is irrational because 29456 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 29456.