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What is the Square Root of 21276?

The square root of 21276 is 145.8629493737. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21276 = 145.8629493737
CalculatedNon-perfect squareIrrational
Exact form√21276
Perfect squareNo
Number typeIrrational
Verification145.86294937372 ≈ 21276

On this page

How the answer is calculated

We solve x2 = 21276. The resulting value is x = 145.8629493737.

Verification: 145.86294937372 ≈ 21276.

Simplified radical form

The square root of 21276 in simplified radical form is 6√591.

This is equivalent to √21276, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21273145.8526653853
√21274145.856093462
√21275145.8595214581
√21276145.8629493737
√21277145.8663772087
√21278145.8698049632
√21279145.8732326371

Number properties

Is 21276 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21276 is irrational because 21276 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 21276.