What is the Square Root of 29237?

The square root of 29237 is 170.9883036936. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29237 = 170.9883036936
CalculatedNon-perfect squareIrrational
Exact form√29237
Perfect squareNo
Number typeIrrational
Verification170.98830369362 ≈ 29237

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How the answer is calculated

We solve x2 = 29237. The resulting value is x = 170.9883036936.

Verification: 170.98830369362 ≈ 29237.

Simplified radical form

The square root of 29237 in simplified radical form is 13√173.

This is equivalent to √29237, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17028900
Upper or equal17129241

Nearby square roots

NumberSquare root
√29234170.9795309386
√29235170.9824552403
√29236170.9853794919
√29237170.9883036936
√29238170.9912278452
√29239170.9941519468
√29240170.9970759984

Number properties

Is 29237 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29237 is irrational because 29237 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 29237.