What is the Square Root of 20488?

The square root of 20488 is 143.1362986807. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20488 = 143.1362986807
CalculatedNon-perfect squareIrrational
Exact form√20488
Perfect squareNo
Number typeIrrational
Verification143.13629868072 ≈ 20488

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How the answer is calculated

We solve x2 = 20488. The resulting value is x = 143.1362986807.

Verification: 143.13629868072 ≈ 20488.

Simplified radical form

The square root of 20488 in simplified radical form is 2√5122.

This is equivalent to √20488, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14320449
Upper or equal14420736

Nearby square roots

NumberSquare root
√20485143.125818775
√20486143.1293121621
√20487143.132805464
√20488143.1362986807
√20489143.1397918121
√20490143.1432848582
√20491143.1467778191

Number properties

Is 20488 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20488 is irrational because 20488 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 20488.