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What is the Square Root of 21664?

The square root of 21664 is 147.1869559438. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21664 = 147.1869559438
CalculatedNon-perfect squareIrrational
Exact form√21664
Perfect squareNo
Number typeIrrational
Verification147.18695594382 ≈ 21664

On this page

How the answer is calculated

We solve x2 = 21664. The resulting value is x = 147.1869559438.

Verification: 147.18695594382 ≈ 21664.

Simplified radical form

The square root of 21664 in simplified radical form is 4√1354.

This is equivalent to √21664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21661147.1767644705
√21662147.1801617067
√21663147.1835588644
√21664147.1869559438
√21665147.1903529447
√21666147.1937498673
√21667147.1971467115

Number properties

Is 21664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21664 is irrational because 21664 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 21664.