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What is the Square Root of 21136?

The square root of 21136 is 145.3822547631. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21136 = 145.3822547631
CalculatedNon-perfect squareIrrational
Exact form√21136
Perfect squareNo
Number typeIrrational
Verification145.38225476312 ≈ 21136

On this page

How the answer is calculated

We solve x2 = 21136. The resulting value is x = 145.3822547631.

Verification: 145.38225476312 ≈ 21136.

Simplified radical form

The square root of 21136 in simplified radical form is 4√1321.

This is equivalent to √21136, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21133145.3719367691
√21134145.3753761818
√21135145.3788155131
√21136145.3822547631
√21137145.3856939317
√21138145.3891330189
√21139145.3925720248

Number properties

Is 21136 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21136 is irrational because 21136 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 21136.