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What is the Square Root of 21824?

The square root of 21824 is 147.729482501. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21824 = 147.729482501
CalculatedNon-perfect squareIrrational
Exact form√21824
Perfect squareNo
Number typeIrrational
Verification147.7294825012 ≈ 21824

On this page

How the answer is calculated

We solve x2 = 21824. The resulting value is x = 147.729482501.

Verification: 147.7294825012 ≈ 21824.

Simplified radical form

The square root of 21824 in simplified radical form is 8√341.

This is equivalent to √21824, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21821147.7193284577
√21822147.7227132164
√21823147.7260978974
√21824147.729482501
√21825147.7328670269
√21826147.7362514754
√21827147.7396358463

Number properties

Is 21824 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21824 is irrational because 21824 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 21824.