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What is the Square Root of 317?

The square root of 317 is 17.8044938148. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√317 = 17.8044938148
CalculatedNon-perfect squareIrrational
Exact form√317
Perfect squareNo
Number typeIrrational
Verification17.80449381482 ≈ 317

On this page

How the answer is calculated

We solve x2 = 317. The resulting value is x = 17.8044938148.

Verification: 17.80449381482 ≈ 317.

Simplified radical form

The square root of 317 in simplified radical form is √317.

There are no square factors that can be taken outside the radical, so √317 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√31417.7200451467
√31517.7482393493
√31617.7763888346
√31717.8044938148
√31817.8325545001
√31917.8605710995
√32017.88854382

Number properties

Is 317 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√317 is irrational because 317 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 317.