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What is the Square Root of 21728?

The square root of 21728 is 147.4042061815. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21728 = 147.4042061815
CalculatedNon-perfect squareIrrational
Exact form√21728
Perfect squareNo
Number typeIrrational
Verification147.40420618152 ≈ 21728

On this page

How the answer is calculated

We solve x2 = 21728. The resulting value is x = 147.4042061815.

Verification: 147.40420618152 ≈ 21728.

Simplified radical form

The square root of 21728 in simplified radical form is 4√1358.

This is equivalent to √21728, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21725147.3940297298
√21726147.3974219585
√21727147.400814109
√21728147.4042061815
√21729147.4075981759
√21730147.4109900923
√21731147.4143819307

Number properties

Is 21728 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21728 is irrational because 21728 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 21728.