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What is the Square Root of 293?

The square root of 293 is 17.1172427686. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√293 = 17.1172427686
CalculatedNon-perfect squareIrrational
Exact form√293
Perfect squareNo
Number typeIrrational
Verification17.11724276862 ≈ 293

On this page

How the answer is calculated

We solve x2 = 293. The resulting value is x = 17.1172427686.

Verification: 17.11724276862 ≈ 293.

Simplified radical form

The square root of 293 in simplified radical form is √293.

There are no square factors that can be taken outside the radical, so √293 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√29017.0293863659
√29117.0587221092
√29217.0880074906
√29317.1172427686
√29417.1464281995
√29517.1755640373
√29617.2046505341

Number properties

Is 293 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√293 is irrational because 293 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 293.