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What is the Square Root of 17489?

The square root of 17489 is 132.2459829258. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17489 = 132.2459829258
CalculatedNon-perfect squareIrrational
Exact form√17489
Perfect squareNo
Number typeIrrational
Verification132.24598292582 ≈ 17489

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How the answer is calculated

We solve x2 = 17489. The resulting value is x = 132.2459829258.

Verification: 132.24598292582 ≈ 17489.

Simplified radical form

The square root of 17489 in simplified radical form is √17489.

There are no square factors that can be taken outside the radical, so √17489 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17486132.2346399398
√17487132.2384210432
√17488132.2422020385
√17489132.2459829258
√17490132.2497637049
√17491132.2535443759
√17492132.2573249389

Number properties

Is 17489 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17489 is irrational because 17489 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 17489.