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What is the Square Root of 20259?

The square root of 20259 is 142.3341139713. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20259 = 142.3341139713
CalculatedNon-perfect squareIrrational
Exact form√20259
Perfect squareNo
Number typeIrrational
Verification142.33411397132 ≈ 20259

On this page

How the answer is calculated

We solve x2 = 20259. The resulting value is x = 142.3341139713.

Verification: 142.33411397132 ≈ 20259.

Simplified radical form

The square root of 20259 in simplified radical form is 3√2251.

This is equivalent to √20259, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20256142.3235749973
√20257142.3270880753
√20258142.3306010667
√20259142.3341139713
√20260142.3376267893
√20261142.3411395205
√20262142.3446521651

Number properties

Is 20259 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20259 is irrational because 20259 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 20259.