What is the Square Root of 29315?

The square root of 29315 is 171.2162375477. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29315 = 171.2162375477
CalculatedNon-perfect squareIrrational
Exact form√29315
Perfect squareNo
Number typeIrrational
Verification171.21623754772 ≈ 29315

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How the answer is calculated

We solve x2 = 29315. The resulting value is x = 171.2162375477.

Verification: 171.21623754772 ≈ 29315.

Simplified radical form

The square root of 29315 in simplified radical form is √29315.

There are no square factors that can be taken outside the radical, so √29315 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29312171.2074764723
√29313171.2103968806
√29314171.2133172391
√29315171.2162375477
√29316171.2191578066
√29317171.2220780157
√29318171.2249981749

Number properties

Is 29315 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29315 is irrational because 29315 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 29315.