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What is the Square Root of 21241?

The square root of 21241 is 145.7429243566. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21241 = 145.7429243566
CalculatedNon-perfect squareIrrational
Exact form√21241
Perfect squareNo
Number typeIrrational
Verification145.74292435662 ≈ 21241

On this page

How the answer is calculated

We solve x2 = 21241. The resulting value is x = 145.7429243566.

Verification: 145.74292435662 ≈ 21241.

Simplified radical form

The square root of 21241 in simplified radical form is √21241.

There are no square factors that can be taken outside the radical, so √21241 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21238145.7326318983
√21239145.7360627985
√21240145.7394936179
√21241145.7429243566
√21242145.7463550145
√21243145.7497855916
√21244145.753216088

Number properties

Is 21241 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21241 is irrational because 21241 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 21241.