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What is the Square Root of 297?

The square root of 297 is 17.2336879396. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√297 = 17.2336879396
CalculatedNon-perfect squareIrrational
Exact form√297
Perfect squareNo
Number typeIrrational
Verification17.23368793962 ≈ 297

On this page

How the answer is calculated

We solve x2 = 297. The resulting value is x = 17.2336879396.

Verification: 17.23368793962 ≈ 297.

Simplified radical form

The square root of 297 in simplified radical form is 3√33.

This is equivalent to √297, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√29417.1464281995
√29517.1755640373
√29617.2046505341
√29717.2336879396
√29817.2626765016
√29917.2916164658
√30017.3205080757

Number properties

Is 297 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√297 is irrational because 297 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 297.