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What is the Square Root of 21424?

The square root of 21424 is 146.3693957083. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21424 = 146.3693957083
CalculatedNon-perfect squareIrrational
Exact form√21424
Perfect squareNo
Number typeIrrational
Verification146.36939570832 ≈ 21424

On this page

How the answer is calculated

We solve x2 = 21424. The resulting value is x = 146.3693957083.

Verification: 146.36939570832 ≈ 21424.

Simplified radical form

The square root of 21424 in simplified radical form is 4√1339.

This is equivalent to √21424, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21421146.3591473055
√21422146.3625635195
√21423146.3659796537
√21424146.3693957083
√21425146.372811683
√21426146.3762275781
√21427146.3796433935

Number properties

Is 21424 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21424 is irrational because 21424 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 21424.