What is the Square Root of 20984?

The square root of 20984 is 144.8585516979. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20984 = 144.8585516979
CalculatedNon-perfect squareIrrational
Exact form√20984
Perfect squareNo
Number typeIrrational
Verification144.85855169792 ≈ 20984

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How the answer is calculated

We solve x2 = 20984. The resulting value is x = 144.8585516979.

Verification: 144.85855169792 ≈ 20984.

Simplified radical form

The square root of 20984 in simplified radical form is 2√5246.

This is equivalent to √20984, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20981144.8481963989
√20982144.8516482474
√20983144.8551000138
√20984144.8585516979
√20985144.8620032997
√20986144.8654548193
√20987144.8689062567

Number properties

Is 20984 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20984 is irrational because 20984 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 20984.