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What is the Square Root of 29961?

The square root of 29961 is 173.092460841. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29961 = 173.092460841
CalculatedNon-perfect squareIrrational
Exact form√29961
Perfect squareNo
Number typeIrrational
Verification173.0924608412 ≈ 29961

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How the answer is calculated

We solve x2 = 29961. The resulting value is x = 173.092460841.

Verification: 173.0924608412 ≈ 29961.

Simplified radical form

The square root of 29961 in simplified radical form is 3√3329.

This is equivalent to √29961, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√29958173.0837947354
√29959173.0866834855
√29960173.0895721874
√29961173.092460841
√29962173.0953494465
√29963173.0982380037
√29964173.1011265128

Number properties

Is 29961 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29961 is irrational because 29961 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 29961.