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What is the Square Root of 20225?

The square root of 20225 is 142.2146265333. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20225 = 142.2146265333
CalculatedNon-perfect squareIrrational
Exact form√20225
Perfect squareNo
Number typeIrrational
Verification142.21462653332 ≈ 20225

On this page

How the answer is calculated

We solve x2 = 20225. The resulting value is x = 142.2146265333.

Verification: 142.21462653332 ≈ 20225.

Simplified radical form

The square root of 20225 in simplified radical form is 5√809.

This is equivalent to √20225, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20222142.2040787038
√20223142.2075947339
√20224142.211110677
√20225142.2146265333
√20226142.2181423026
√20227142.221657985
√20228142.2251735805

Number properties

Is 20225 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20225 is irrational because 20225 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 20225.