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What is the Square Root of 21249?

The square root of 21249 is 145.7703673591. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21249 = 145.7703673591
CalculatedNon-perfect squareIrrational
Exact form√21249
Perfect squareNo
Number typeIrrational
Verification145.77036735912 ≈ 21249

On this page

How the answer is calculated

We solve x2 = 21249. The resulting value is x = 145.7703673591.

Verification: 145.77036735912 ≈ 21249.

Simplified radical form

The square root of 21249 in simplified radical form is 3√2361.

This is equivalent to √21249, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21246145.7600768386
√21247145.7635070928
√21248145.7669372663
√21249145.7703673591
√21250145.7737973711
√21251145.7772273025
√21252145.7806571531

Number properties

Is 21249 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21249 is irrational because 21249 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 21249.