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What is the Square Root of 302?

The square root of 302 is 17.378147197. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√302 = 17.378147197
CalculatedNon-perfect squareIrrational
Exact form√302
Perfect squareNo
Number typeIrrational
Verification17.3781471972 ≈ 302

On this page

How the answer is calculated

We solve x2 = 302. The resulting value is x = 17.378147197.

Verification: 17.3781471972 ≈ 302.

Simplified radical form

The square root of 302 in simplified radical form is √302.

There are no square factors that can be taken outside the radical, so √302 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√29917.2916164658
√30017.3205080757
√30117.3493515729
√30217.378147197
√30317.4068951855
√30417.4355957742
√30517.4642491966

Number properties

Is 302 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√302 is irrational because 302 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 302.