What is the Square Root of 29629?

The square root of 29629 is 172.1307642463. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29629 = 172.1307642463
CalculatedNon-perfect squareIrrational
Exact form√29629
Perfect squareNo
Number typeIrrational
Verification172.13076424632 ≈ 29629

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How the answer is calculated

We solve x2 = 29629. The resulting value is x = 172.1307642463.

Verification: 172.13076424632 ≈ 29629.

Simplified radical form

The square root of 29629 in simplified radical form is √29629.

There are no square factors that can be taken outside the radical, so √29629 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29626172.1220497205
√29627172.1249546115
√29628172.1278594534
√29629172.1307642463
√29630172.1336689901
√29631172.136573685
√29632172.1394783308

Number properties

Is 29629 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29629 is irrational because 29629 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 29629.