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What is the Square Root of 21308?

The square root of 21308 is 145.9726001687. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21308 = 145.9726001687
CalculatedNon-perfect squareIrrational
Exact form√21308
Perfect squareNo
Number typeIrrational
Verification145.97260016872 ≈ 21308

On this page

How the answer is calculated

We solve x2 = 21308. The resulting value is x = 145.9726001687.

Verification: 145.97260016872 ≈ 21308.

Simplified radical form

The square root of 21308 in simplified radical form is 2√5327.

This is equivalent to √21308, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21305145.9623239059
√21306145.9657494072
√21307145.9691748281
√21308145.9726001687
√21309145.9760254288
√21310145.9794506086
√21311145.9828757081

Number properties

Is 21308 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21308 is irrational because 21308 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 21308.