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What is the Square Root of 21240?

The square root of 21240 is 145.7394936179. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21240 = 145.7394936179
CalculatedNon-perfect squareIrrational
Exact form√21240
Perfect squareNo
Number typeIrrational
Verification145.73949361792 ≈ 21240

On this page

How the answer is calculated

We solve x2 = 21240. The resulting value is x = 145.7394936179.

Verification: 145.73949361792 ≈ 21240.

Simplified radical form

The square root of 21240 in simplified radical form is 6√590.

This is equivalent to √21240, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21237145.7292009173
√21238145.7326318983
√21239145.7360627985
√21240145.7394936179
√21241145.7429243566
√21242145.7463550145
√21243145.7497855916

Number properties

Is 21240 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21240 is irrational because 21240 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 21240.