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What is the Square Root of 29657?

The square root of 29657 is 172.2120785543. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29657 = 172.2120785543
CalculatedNon-perfect squareIrrational
Exact form√29657
Perfect squareNo
Number typeIrrational
Verification172.21207855432 ≈ 29657

On this page

How the answer is calculated

We solve x2 = 29657. The resulting value is x = 172.2120785543.

Verification: 172.21207855432 ≈ 29657.

Simplified radical form

The square root of 29657 in simplified radical form is √29657.

There are no square factors that can be taken outside the radical, so √29657 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29654172.2033681436
√29655172.2062716628
√29656172.209175133
√29657172.2120785543
√29658172.2149819267
√29659172.2178852501
√29660172.2207885245

Number properties

Is 29657 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29657 is irrational because 29657 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 29657.