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What is the Square Root of 21364?

The square root of 21364 is 146.1642911247. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21364 = 146.1642911247
CalculatedNon-perfect squareIrrational
Exact form√21364
Perfect squareNo
Number typeIrrational
Verification146.16429112472 ≈ 21364

On this page

How the answer is calculated

We solve x2 = 21364. The resulting value is x = 146.1642911247.

Verification: 146.16429112472 ≈ 21364.

Simplified radical form

The square root of 21364 in simplified radical form is 14√109.

This is equivalent to √21364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21361146.15402834
√21362146.1574493483
√21363146.1608702766
√21364146.1642911247
√21365146.1677118929
√21366146.171132581
√21367146.174553189

Number properties

Is 21364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21364 is irrational because 21364 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 21364.