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What is the Square Root of 21438?

The square root of 21438 is 146.4172121029. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21438 = 146.4172121029
CalculatedNon-perfect squareIrrational
Exact form√21438
Perfect squareNo
Number typeIrrational
Verification146.41721210292 ≈ 21438

On this page

How the answer is calculated

We solve x2 = 21438. The resulting value is x = 146.4172121029.

Verification: 146.41721210292 ≈ 21438.

Simplified radical form

The square root of 21438 in simplified radical form is 3√2382.

This is equivalent to √21438, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21435146.4069670473
√21436146.4103821455
√21437146.4137971641
√21438146.4172121029
√21439146.4206269622
√21440146.4240417418
√21441146.4274564417

Number properties

Is 21438 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21438 is irrational because 21438 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 21438.