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What is the Square Root of 21328?

The square root of 21328 is 146.0410901082. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21328 = 146.0410901082
CalculatedNon-perfect squareIrrational
Exact form√21328
Perfect squareNo
Number typeIrrational
Verification146.04109010822 ≈ 21328

On this page

How the answer is calculated

We solve x2 = 21328. The resulting value is x = 146.0410901082.

Verification: 146.04109010822 ≈ 21328.

Simplified radical form

The square root of 21328 in simplified radical form is 4√1333.

This is equivalent to √21328, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21325146.0308186651
√21326146.0342425598
√21327146.0376663741
√21328146.0410901082
√21329146.0445137621
√21330146.0479373357
√21331146.051360829

Number properties

Is 21328 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21328 is irrational because 21328 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 21328.