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What is the Square Root of 21139?

The square root of 21139 is 145.3925720248. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21139 = 145.3925720248
CalculatedNon-perfect squareIrrational
Exact form√21139
Perfect squareNo
Number typeIrrational
Verification145.39257202482 ≈ 21139

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How the answer is calculated

We solve x2 = 21139. The resulting value is x = 145.3925720248.

Verification: 145.39257202482 ≈ 21139.

Simplified radical form

The square root of 21139 in simplified radical form is √21139.

There are no square factors that can be taken outside the radical, so √21139 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21136145.3822547631
√21137145.3856939317
√21138145.3891330189
√21139145.3925720248
√21140145.3960109494
√21141145.3994497926
√21142145.4028885545

Number properties

Is 21139 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21139 is irrational because 21139 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 21139.