What is the Square Root of 29142?

The square root of 29142 is 170.7102808855. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29142 = 170.7102808855
CalculatedNon-perfect squareIrrational
Exact form√29142
Perfect squareNo
Number typeIrrational
Verification170.71028088552 ≈ 29142

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How the answer is calculated

We solve x2 = 29142. The resulting value is x = 170.7102808855.

Verification: 170.71028088552 ≈ 29142.

Simplified radical form

The square root of 29142 in simplified radical form is 3√3238.

This is equivalent to √29142, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17028900
Upper or equal17129241

Nearby square roots

NumberSquare root
√29139170.7014938423
√29140170.704422907
√29141170.7073519214
√29142170.7102808855
√29143170.7132097994
√29144170.716138663
√29145170.7190674764

Number properties

Is 29142 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29142 is irrational because 29142 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 29142.