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What is the Square Root of 21488?

The square root of 21488 is 146.5878576145. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21488 = 146.5878576145
CalculatedNon-perfect squareIrrational
Exact form√21488
Perfect squareNo
Number typeIrrational
Verification146.58785761452 ≈ 21488

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How the answer is calculated

We solve x2 = 21488. The resulting value is x = 146.5878576145.

Verification: 146.58785761452 ≈ 21488.

Simplified radical form

The square root of 21488 in simplified radical form is 4√1343.

This is equivalent to √21488, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21485146.5776244861
√21486146.5810356083
√21487146.5844466511
√21488146.5878576145
√21489146.5912684985
√21490146.5946793032
√21491146.5980900285

Number properties

Is 21488 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21488 is irrational because 21488 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 21488.