What is the Square Root of 21104?

The square root of 21104 is 145.2721583787. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21104 = 145.2721583787
CalculatedNon-perfect squareIrrational
Exact form√21104
Perfect squareNo
Number typeIrrational
Verification145.27215837872 ≈ 21104

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How the answer is calculated

We solve x2 = 21104. The resulting value is x = 145.2721583787.

Verification: 145.27215837872 ≈ 21104.

Simplified radical form

The square root of 21104 in simplified radical form is 4√1319.

This is equivalent to √21104, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21101145.2618325645
√21102145.2652745841
√21103145.2687165222
√21104145.2721583787
√21105145.2756001536
√21106145.2790418471
√21107145.2824834589

Number properties

Is 21104 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21104 is irrational because 21104 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 21104.