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What is the Square Root of 21330?

The square root of 21330 is 146.0479373357. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21330 = 146.0479373357
CalculatedNon-perfect squareIrrational
Exact form√21330
Perfect squareNo
Number typeIrrational
Verification146.04793733572 ≈ 21330

On this page

How the answer is calculated

We solve x2 = 21330. The resulting value is x = 146.0479373357.

Verification: 146.04793733572 ≈ 21330.

Simplified radical form

The square root of 21330 in simplified radical form is 3√2370.

This is equivalent to √21330, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21327146.0376663741
√21328146.0410901082
√21329146.0445137621
√21330146.0479373357
√21331146.051360829
√21332146.0547842421
√21333146.0582075749

Number properties

Is 21330 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21330 is irrational because 21330 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 21330.