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What is the Square Root of 21984?

The square root of 21984 is 148.2700239428. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21984 = 148.2700239428
CalculatedNon-perfect squareIrrational
Exact form√21984
Perfect squareNo
Number typeIrrational
Verification148.27002394282 ≈ 21984

On this page

How the answer is calculated

We solve x2 = 21984. The resulting value is x = 148.2700239428.

Verification: 148.27002394282 ≈ 21984.

Simplified radical form

The square root of 21984 in simplified radical form is 4√1374.

This is equivalent to √21984, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14821904
Upper or equal14922201

Nearby square roots

NumberSquare root
√21981148.2599069202
√21982148.2632793378
√21983148.2666516787
√21984148.2700239428
√21985148.2733961303
√21986148.276768241
√21987148.2801402751

Number properties

Is 21984 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21984 is irrational because 21984 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 21984.