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What is the Square Root of 20263?

The square root of 20263 is 142.348164723. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20263 = 142.348164723
CalculatedNon-perfect squareIrrational
Exact form√20263
Perfect squareNo
Number typeIrrational
Verification142.3481647232 ≈ 20263

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How the answer is calculated

We solve x2 = 20263. The resulting value is x = 142.348164723.

Verification: 142.3481647232 ≈ 20263.

Simplified radical form

The square root of 20263 in simplified radical form is √20263.

There are no square factors that can be taken outside the radical, so √20263 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20260142.3376267893
√20261142.3411395205
√20262142.3446521651
√20263142.348164723
√20264142.3516771942
√20265142.3551895787
√20266142.3587018766

Number properties

Is 20263 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20263 is irrational because 20263 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 20263.