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What is the Square Root of 289?

The square root of 289 is 17. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√289 = 17
ExactPerfect squareRational
Exact form17
Perfect squareYes
Number typeRational
Verification172 ≈ 289

On this page

How the answer is calculated

We solve x2 = 289. The resulting value is x = 17.

Verification: 172 ≈ 289.

Simplified radical form

The square root of 289 in simplified radical form is 17.

There are no square factors that can be taken outside the radical, so 17 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal17289

Nearby square roots

NumberSquare root
√28616.9115345253
√28716.9410743461
√28816.9705627485
√28917
√29017.0293863659
√29117.0587221092
√29217.0880074906

Number properties

Is 289 a perfect square?

Yes. Its square root is the whole number 17.

Is the square root rational or irrational?

17 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 289.