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What is the Square Root of 21472?

The square root of 21472 is 146.5332726721. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21472 = 146.5332726721
CalculatedNon-perfect squareIrrational
Exact form√21472
Perfect squareNo
Number typeIrrational
Verification146.53327267212 ≈ 21472

On this page

How the answer is calculated

We solve x2 = 21472. The resulting value is x = 146.5332726721.

Verification: 146.53327267212 ≈ 21472.

Simplified radical form

The square root of 21472 in simplified radical form is 4√1342.

This is equivalent to √21472, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21469146.5230357316
√21470146.5264481246
√21471146.5298604381
√21472146.5332726721
√21473146.5366848267
√21474146.5400969018
√21475146.5435088975

Number properties

Is 21472 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21472 is irrational because 21472 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 21472.