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What is the Square Root of 21384?

The square root of 21384 is 146.2326912834. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21384 = 146.2326912834
CalculatedNon-perfect squareIrrational
Exact form√21384
Perfect squareNo
Number typeIrrational
Verification146.23269128342 ≈ 21384

On this page

How the answer is calculated

We solve x2 = 21384. The resulting value is x = 146.2326912834.

Verification: 146.23269128342 ≈ 21384.

Simplified radical form

The square root of 21384 in simplified radical form is 18√66.

This is equivalent to √21384, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21381146.2224332994
√21382146.2258527074
√21383146.2292720354
√21384146.2326912834
√21385146.2361104516
√21386146.2395295397
√21387146.242948548

Number properties

Is 21384 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21384 is irrational because 21384 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 21384.