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What is the Square Root of 21140?

The square root of 21140 is 145.3960109494. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21140 = 145.3960109494
CalculatedNon-perfect squareIrrational
Exact form√21140
Perfect squareNo
Number typeIrrational
Verification145.39601094942 ≈ 21140

On this page

How the answer is calculated

We solve x2 = 21140. The resulting value is x = 145.3960109494.

Verification: 145.39601094942 ≈ 21140.

Simplified radical form

The square root of 21140 in simplified radical form is 2√5285.

This is equivalent to √21140, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21137145.3856939317
√21138145.3891330189
√21139145.3925720248
√21140145.3960109494
√21141145.3994497926
√21142145.4028885545
√21143145.4063272351

Number properties

Is 21140 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21140 is irrational because 21140 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 21140.