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What is the Square Root of 21825?

The square root of 21825 is 147.7328670269. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21825 = 147.7328670269
CalculatedNon-perfect squareIrrational
Exact form√21825
Perfect squareNo
Number typeIrrational
Verification147.73286702692 ≈ 21825

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How the answer is calculated

We solve x2 = 21825. The resulting value is x = 147.7328670269.

Verification: 147.73286702692 ≈ 21825.

Simplified radical form

The square root of 21825 in simplified radical form is 15√97.

This is equivalent to √21825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21822147.7227132164
√21823147.7260978974
√21824147.729482501
√21825147.7328670269
√21826147.7362514754
√21827147.7396358463
√21828147.7430201397

Number properties

Is 21825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21825 is irrational because 21825 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 21825.