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What is the Square Root of 21275?

The square root of 21275 is 145.8595214581. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21275 = 145.8595214581
CalculatedNon-perfect squareIrrational
Exact form√21275
Perfect squareNo
Number typeIrrational
Verification145.85952145812 ≈ 21275

On this page

How the answer is calculated

We solve x2 = 21275. The resulting value is x = 145.8595214581.

Verification: 145.85952145812 ≈ 21275.

Simplified radical form

The square root of 21275 in simplified radical form is 5√851.

This is equivalent to √21275, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21272145.849237228
√21273145.8526653853
√21274145.856093462
√21275145.8595214581
√21276145.8629493737
√21277145.8663772087
√21278145.8698049632

Number properties

Is 21275 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21275 is irrational because 21275 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 21275.