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What is the Square Root of 21428?

The square root of 21428 is 146.3830591291. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21428 = 146.3830591291
CalculatedNon-perfect squareIrrational
Exact form√21428
Perfect squareNo
Number typeIrrational
Verification146.38305912912 ≈ 21428

On this page

How the answer is calculated

We solve x2 = 21428. The resulting value is x = 146.3830591291.

Verification: 146.38305912912 ≈ 21428.

Simplified radical form

The square root of 21428 in simplified radical form is 2√5357.

This is equivalent to √21428, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21425146.372811683
√21426146.3762275781
√21427146.3796433935
√21428146.3830591291
√21429146.3864747851
√21430146.3898903613
√21431146.3933058579

Number properties

Is 21428 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21428 is irrational because 21428 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 21428.