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What is the Square Root of 21344?

The square root of 21344 is 146.095858942. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21344 = 146.095858942
CalculatedNon-perfect squareIrrational
Exact form√21344
Perfect squareNo
Number typeIrrational
Verification146.0958589422 ≈ 21344

On this page

How the answer is calculated

We solve x2 = 21344. The resulting value is x = 146.095858942.

Verification: 146.0958589422 ≈ 21344.

Simplified radical form

The square root of 21344 in simplified radical form is 4√1334.

This is equivalent to √21344, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21341146.0855913497
√21342146.0890139607
√21343146.0924364914
√21344146.095858942
√21345146.0992813124
√21346146.1027036026
√21347146.1061258127

Number properties

Is 21344 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21344 is irrational because 21344 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 21344.