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What is the Square Root of 20316?

The square root of 20316 is 142.5342064208. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20316 = 142.5342064208
CalculatedNon-perfect squareIrrational
Exact form√20316
Perfect squareNo
Number typeIrrational
Verification142.53420642082 ≈ 20316

On this page

How the answer is calculated

We solve x2 = 20316. The resulting value is x = 142.5342064208.

Verification: 142.53420642082 ≈ 20316.

Simplified radical form

The square root of 20316 in simplified radical form is 2√5079.

This is equivalent to √20316, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20313142.5236822426
√20314142.5271903884
√20315142.5306984477
√20316142.5342064208
√20317142.5377143075
√20318142.5412221079
√20319142.5447298219

Number properties

Is 20316 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20316 is irrational because 20316 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 20316.