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What is the Square Root of 316?

The square root of 316 is 17.7763888346. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√316 = 17.7763888346
CalculatedNon-perfect squareIrrational
Exact form√316
Perfect squareNo
Number typeIrrational
Verification17.77638883462 ≈ 316

On this page

How the answer is calculated

We solve x2 = 316. The resulting value is x = 17.7763888346.

Verification: 17.77638883462 ≈ 316.

Simplified radical form

The square root of 316 in simplified radical form is 2√79.

This is equivalent to √316, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√31317.691806013
√31417.7200451467
√31517.7482393493
√31617.7763888346
√31717.8044938148
√31817.8325545001
√31917.8605710995

Number properties

Is 316 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√316 is irrational because 316 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 316.