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What is the Square Root of 17629?

The square root of 17629 is 132.7742444904. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17629 = 132.7742444904
CalculatedNon-perfect squareIrrational
Exact form√17629
Perfect squareNo
Number typeIrrational
Verification132.77424449042 ≈ 17629

On this page

How the answer is calculated

We solve x2 = 17629. The resulting value is x = 132.7742444904.

Verification: 132.77424449042 ≈ 17629.

Simplified radical form

The square root of 17629 in simplified radical form is 17√61.

This is equivalent to √17629, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17626132.762946638
√17627132.7667126956
√17628132.7704786464
√17629132.7742444904
√17630132.7780102276
√17631132.781775858
√17632132.7855413816

Number properties

Is 17629 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17629 is irrational because 17629 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 17629.