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What is the Square Root of 21231?

The square root of 21231 is 145.708613335. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21231 = 145.708613335
CalculatedNon-perfect squareIrrational
Exact form√21231
Perfect squareNo
Number typeIrrational
Verification145.7086133352 ≈ 21231

On this page

How the answer is calculated

We solve x2 = 21231. The resulting value is x = 145.708613335.

Verification: 145.7086133352 ≈ 21231.

Simplified radical form

The square root of 21231 in simplified radical form is 3√2359.

This is equivalent to √21231, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21228145.6983184529
√21229145.7017501611
√21230145.7051817884
√21231145.708613335
√21232145.7120448007
√21233145.7154761856
√21234145.7189074897

Number properties

Is 21231 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21231 is irrational because 21231 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 21231.