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What is the Square Root of 301?

The square root of 301 is 17.3493515729. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√301 = 17.3493515729
CalculatedNon-perfect squareIrrational
Exact form√301
Perfect squareNo
Number typeIrrational
Verification17.34935157292 ≈ 301

On this page

How the answer is calculated

We solve x2 = 301. The resulting value is x = 17.3493515729.

Verification: 17.34935157292 ≈ 301.

Simplified radical form

The square root of 301 in simplified radical form is √301.

There are no square factors that can be taken outside the radical, so √301 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√29817.2626765016
√29917.2916164658
√30017.3205080757
√30117.3493515729
√30217.378147197
√30317.4068951855
√30417.4355957742

Number properties

Is 301 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√301 is irrational because 301 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 301.