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What is the Square Root of 21284?

The square root of 21284 is 145.8903697987. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21284 = 145.8903697987
CalculatedNon-perfect squareIrrational
Exact form√21284
Perfect squareNo
Number typeIrrational
Verification145.89036979872 ≈ 21284

On this page

How the answer is calculated

We solve x2 = 21284. The resulting value is x = 145.8903697987.

Verification: 145.89036979872 ≈ 21284.

Simplified radical form

The square root of 21284 in simplified radical form is 2√5321.

This is equivalent to √21284, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21281145.8800877433
√21282145.8835151756
√21283145.8869425274
√21284145.8903697987
√21285145.8937969895
√21286145.8972240997
√21287145.9006511295

Number properties

Is 21284 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21284 is irrational because 21284 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 21284.