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What is the Square Root of 20493?

The square root of 20493 is 143.1537634853. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20493 = 143.1537634853
CalculatedNon-perfect squareIrrational
Exact form√20493
Perfect squareNo
Number typeIrrational
Verification143.15376348532 ≈ 20493

On this page

How the answer is calculated

We solve x2 = 20493. The resulting value is x = 143.1537634853.

Verification: 143.15376348532 ≈ 20493.

Simplified radical form

The square root of 20493 in simplified radical form is 9√253.

This is equivalent to √20493, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20490143.1432848582
√20491143.1467778191
√20492143.1502706948
√20493143.1537634853
√20494143.1572561905
√20495143.1607488106
√20496143.1642413454

Number properties

Is 20493 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20493 is irrational because 20493 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 20493.