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What is the Square Root of 29493?

The square root of 29493 is 171.7352613763. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29493 = 171.7352613763
CalculatedNon-perfect squareIrrational
Exact form√29493
Perfect squareNo
Number typeIrrational
Verification171.73526137632 ≈ 29493

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How the answer is calculated

We solve x2 = 29493. The resulting value is x = 171.7352613763.

Verification: 171.73526137632 ≈ 29493.

Simplified radical form

The square root of 29493 in simplified radical form is 3√3277.

This is equivalent to √29493, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17129241
Upper or equal17229584

Nearby square roots

NumberSquare root
√29490171.7265267802
√29491171.7294383616
√29492171.7323498937
√29493171.7352613763
√29494171.7381728097
√29495171.7410841936
√29496171.7439955282

Number properties

Is 29493 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29493 is irrational because 29493 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 29493.