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What is the Square Root of 21138?

The square root of 21138 is 145.3891330189. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21138 = 145.3891330189
CalculatedNon-perfect squareIrrational
Exact form√21138
Perfect squareNo
Number typeIrrational
Verification145.38913301892 ≈ 21138

On this page

How the answer is calculated

We solve x2 = 21138. The resulting value is x = 145.3891330189.

Verification: 145.38913301892 ≈ 21138.

Simplified radical form

The square root of 21138 in simplified radical form is √21138.

There are no square factors that can be taken outside the radical, so √21138 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21135145.3788155131
√21136145.3822547631
√21137145.3856939317
√21138145.3891330189
√21139145.3925720248
√21140145.3960109494
√21141145.3994497926

Number properties

Is 21138 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21138 is irrational because 21138 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 21138.