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What is the Square Root of 21492?

The square root of 21492 is 146.6015006744. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21492 = 146.6015006744
CalculatedNon-perfect squareIrrational
Exact form√21492
Perfect squareNo
Number typeIrrational
Verification146.60150067442 ≈ 21492

On this page

How the answer is calculated

We solve x2 = 21492. The resulting value is x = 146.6015006744.

Verification: 146.60150067442 ≈ 21492.

Simplified radical form

The square root of 21492 in simplified radical form is 6√597.

This is equivalent to √21492, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21489146.5912684985
√21490146.5946793032
√21491146.5980900285
√21492146.6015006744
√21493146.6049112411
√21494146.6083217283
√21495146.6117321363

Number properties

Is 21492 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21492 is irrational because 21492 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 21492.