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What is the Square Root of 21478?

The square root of 21478 is 146.553744408. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21478 = 146.553744408
CalculatedNon-perfect squareIrrational
Exact form√21478
Perfect squareNo
Number typeIrrational
Verification146.5537444082 ≈ 21478

On this page

How the answer is calculated

We solve x2 = 21478. The resulting value is x = 146.553744408.

Verification: 146.5537444082 ≈ 21478.

Simplified radical form

The square root of 21478 in simplified radical form is √21478.

There are no square factors that can be taken outside the radical, so √21478 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21475146.5435088975
√21476146.5469208138
√21477146.5503326506
√21478146.553744408
√21479146.5571560859
√21480146.5605676845
√21481146.5639792036

Number properties

Is 21478 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21478 is irrational because 21478 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 21478.