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What is the Square Root of 21464?

The square root of 21464 is 146.5059725745. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21464 = 146.5059725745
CalculatedNon-perfect squareIrrational
Exact form√21464
Perfect squareNo
Number typeIrrational
Verification146.50597257452 ≈ 21464

On this page

How the answer is calculated

We solve x2 = 21464. The resulting value is x = 146.5059725745.

Verification: 146.50597257452 ≈ 21464.

Simplified radical form

The square root of 21464 in simplified radical form is 2√5366.

This is equivalent to √21464, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21461146.4957337263
√21462146.4991467552
√21463146.5025597046
√21464146.5059725745
√21465146.5093853649
√21466146.5127980758
√21467146.5162107072

Number properties

Is 21464 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21464 is irrational because 21464 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 21464.