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What is the Square Root of 21274?

The square root of 21274 is 145.856093462. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21274 = 145.856093462
CalculatedNon-perfect squareIrrational
Exact form√21274
Perfect squareNo
Number typeIrrational
Verification145.8560934622 ≈ 21274

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How the answer is calculated

We solve x2 = 21274. The resulting value is x = 145.856093462.

Verification: 145.8560934622 ≈ 21274.

Simplified radical form

The square root of 21274 in simplified radical form is √21274.

There are no square factors that can be taken outside the radical, so √21274 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21271145.8458089902
√21272145.849237228
√21273145.8526653853
√21274145.856093462
√21275145.8595214581
√21276145.8629493737
√21277145.8663772087

Number properties

Is 21274 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21274 is irrational because 21274 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 21274.