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What is the Square Root of 20230?

The square root of 20230 is 142.2322045108. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20230 = 142.2322045108
CalculatedNon-perfect squareIrrational
Exact form√20230
Perfect squareNo
Number typeIrrational
Verification142.23220451082 ≈ 20230

On this page

How the answer is calculated

We solve x2 = 20230. The resulting value is x = 142.2322045108.

Verification: 142.23220451082 ≈ 20230.

Simplified radical form

The square root of 20230 in simplified radical form is 17√70.

This is equivalent to √20230, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20227142.221657985
√20228142.2251735805
√20229142.2286890891
√20230142.2322045108
√20231142.2357198456
√20232142.2392350936
√20233142.2427502546

Number properties

Is 20230 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20230 is irrational because 20230 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 20230.