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What is the Square Root of 29057?

The square root of 29057 is 170.4611392664. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29057 = 170.4611392664
CalculatedNon-perfect squareIrrational
Exact form√29057
Perfect squareNo
Number typeIrrational
Verification170.46113926642 ≈ 29057

On this page

How the answer is calculated

We solve x2 = 29057. The resulting value is x = 170.4611392664.

Verification: 170.46113926642 ≈ 29057.

Simplified radical form

The square root of 29057 in simplified radical form is 7√593.

This is equivalent to √29057, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17028900
Upper or equal17129241

Nearby square roots

NumberSquare root
√29054170.4523393797
√29055170.4552727257
√29056170.4582060213
√29057170.4611392664
√29058170.464072461
√29059170.4670056052
√29060170.4699386989

Number properties

Is 29057 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29057 is irrational because 29057 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 29057.