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What is the Square Root of 17689?

The square root of 17689 is 133. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17689 = 133
ExactPerfect squareRational
Exact form133
Perfect squareYes
Number typeRational
Verification1332 ≈ 17689

On this page

How the answer is calculated

We solve x2 = 17689. The resulting value is x = 133.

Verification: 1332 ≈ 17689.

Simplified radical form

The square root of 17689 in simplified radical form is 133.

There are no square factors that can be taken outside the radical, so 133 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13317689

Nearby square roots

NumberSquare root
√17686132.9887213263
√17687132.9924809905
√17688132.9962405484
√17689133
√17690133.0037593454
√17691133.0075185845
√17692133.0112777173

Number properties

Is 17689 a perfect square?

Yes. Its square root is the whole number 133.

Is the square root rational or irrational?

133 is rational because it is a whole number.

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 17689.