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What is the Square Root of 21440?

The square root of 21440 is 146.4240417418. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21440 = 146.4240417418
CalculatedNon-perfect squareIrrational
Exact form√21440
Perfect squareNo
Number typeIrrational
Verification146.42404174182 ≈ 21440

On this page

How the answer is calculated

We solve x2 = 21440. The resulting value is x = 146.4240417418.

Verification: 146.42404174182 ≈ 21440.

Simplified radical form

The square root of 21440 in simplified radical form is 8√335.

This is equivalent to √21440, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21437146.4137971641
√21438146.4172121029
√21439146.4206269622
√21440146.4240417418
√21441146.4274564417
√21442146.4308710621
√21443146.4342856028

Number properties

Is 21440 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21440 is irrational because 21440 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 21440.