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What is the Square Root of 29952?

The square root of 29952 is 173.0664612223. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29952 = 173.0664612223
CalculatedNon-perfect squareIrrational
Exact form√29952
Perfect squareNo
Number typeIrrational
Verification173.06646122232 ≈ 29952

On this page

How the answer is calculated

We solve x2 = 29952. The resulting value is x = 173.0664612223.

Verification: 173.06646122232 ≈ 29952.

Simplified radical form

The square root of 29952 in simplified radical form is 48√13.

This is equivalent to √29952, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√29949173.0577938147
√29950173.0606829988
√29951173.0635721346
√29952173.0664612223
√29953173.0693502617
√29954173.0722392529
√29955173.0751281958

Number properties

Is 29952 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29952 is irrational because 29952 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 29952.