What is the Square Root of 29956?

The square root of 29956 is 173.0780170906. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29956 = 173.0780170906
CalculatedNon-perfect squareIrrational
Exact form√29956
Perfect squareNo
Number typeIrrational
Verification173.07801709062 ≈ 29956

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How the answer is calculated

We solve x2 = 29956. The resulting value is x = 173.0780170906.

Verification: 173.07801709062 ≈ 29956.

Simplified radical form

The square root of 29956 in simplified radical form is 2√7489.

This is equivalent to √29956, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√29953173.0693502617
√29954173.0722392529
√29955173.0751281958
√29956173.0780170906
√29957173.0809059371
√29958173.0837947354
√29959173.0866834855

Number properties

Is 29956 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29956 is irrational because 29956 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 29956.