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What is the Square Root of 29460?

The square root of 29460 is 171.6391563717. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29460 = 171.6391563717
CalculatedNon-perfect squareIrrational
Exact form√29460
Perfect squareNo
Number typeIrrational
Verification171.63915637172 ≈ 29460

On this page

How the answer is calculated

We solve x2 = 29460. The resulting value is x = 171.6391563717.

Verification: 171.63915637172 ≈ 29460.

Simplified radical form

The square root of 29460 in simplified radical form is 2√7365.

This is equivalent to √29460, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29457171.6304168847
√29458171.6333300965
√29459171.6362432588
√29460171.6391563717
√29461171.6420694352
√29462171.6449824492
√29463171.6478954138

Number properties

Is 29460 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29460 is irrational because 29460 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 29460.