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What is the Square Root of 29504?

The square root of 29504 is 171.7672844287. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29504 = 171.7672844287
CalculatedNon-perfect squareIrrational
Exact form√29504
Perfect squareNo
Number typeIrrational
Verification171.76728442872 ≈ 29504

On this page

How the answer is calculated

We solve x2 = 29504. The resulting value is x = 171.7672844287.

Verification: 171.76728442872 ≈ 29504.

Simplified radical form

The square root of 29504 in simplified radical form is 8√461.

This is equivalent to √29504, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29501171.7585514611
√29502171.7614624996
√29503171.7643734888
√29504171.7672844287
√29505171.7701953192
√29506171.7731061604
√29507171.7760169523

Number properties

Is 29504 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29504 is irrational because 29504 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 29504.