What is the Square Root of 29836?

The square root of 29836 is 172.7310047444. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29836 = 172.7310047444
CalculatedNon-perfect squareIrrational
Exact form√29836
Perfect squareNo
Number typeIrrational
Verification172.73100474442 ≈ 29836

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How the answer is calculated

We solve x2 = 29836. The resulting value is x = 172.7310047444.

Verification: 172.73100474442 ≈ 29836.

Simplified radical form

The square root of 29836 in simplified radical form is 2√7459.

This is equivalent to √29836, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29833172.7223205032
√29834172.7252152988
√29835172.7281100458
√29836172.7310047444
√29837172.7338993944
√29838172.736793996
√29839172.739688549

Number properties

Is 29836 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29836 is irrational because 29836 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 29836.