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What is the Square Root of 21404?

The square root of 21404 is 146.301059463. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21404 = 146.301059463
CalculatedNon-perfect squareIrrational
Exact form√21404
Perfect squareNo
Number typeIrrational
Verification146.3010594632 ≈ 21404

On this page

How the answer is calculated

We solve x2 = 21404. The resulting value is x = 146.301059463.

Verification: 146.3010594632 ≈ 21404.

Simplified radical form

The square root of 21404 in simplified radical form is 2√5351.

This is equivalent to √21404, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21401146.290806273
√21402146.2942240828
√21403146.2976418128
√21404146.301059463
√21405146.3044770333
√21406146.3078945238
√21407146.3113119345

Number properties

Is 21404 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21404 is irrational because 21404 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 21404.