What is the Square Root of 29704?

The square root of 29704 is 172.3484841825. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29704 = 172.3484841825
CalculatedNon-perfect squareIrrational
Exact form√29704
Perfect squareNo
Number typeIrrational
Verification172.34848418252 ≈ 29704

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How the answer is calculated

We solve x2 = 29704. The resulting value is x = 172.3484841825.

Verification: 172.34848418252 ≈ 29704.

Simplified radical form

The square root of 29704 in simplified radical form is 2√7426.

This is equivalent to √29704, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29701172.339780666
√29702172.342681887
√29703172.3455830592
√29704172.3484841825
√29705172.351385257
√29706172.3542862826
√29707172.3571872595

Number properties

Is 29704 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29704 is irrational because 29704 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 29704.