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What is the Square Root of 29957?

The square root of 29957 is 173.0809059371. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29957 = 173.0809059371
CalculatedNon-perfect squareIrrational
Exact form√29957
Perfect squareNo
Number typeIrrational
Verification173.08090593712 ≈ 29957

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How the answer is calculated

We solve x2 = 29957. The resulting value is x = 173.0809059371.

Verification: 173.08090593712 ≈ 29957.

Simplified radical form

The square root of 29957 in simplified radical form is √29957.

There are no square factors that can be taken outside the radical, so √29957 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√29954173.0722392529
√29955173.0751281958
√29956173.0780170906
√29957173.0809059371
√29958173.0837947354
√29959173.0866834855
√29960173.0895721874

Number properties

Is 29957 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29957 is irrational because 29957 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 29957.