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What is the Square Root of 20864?

The square root of 20864 is 144.4437606821. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20864 = 144.4437606821
CalculatedNon-perfect squareIrrational
Exact form√20864
Perfect squareNo
Number typeIrrational
Verification144.44376068212 ≈ 20864

On this page

How the answer is calculated

We solve x2 = 20864. The resulting value is x = 144.4437606821.

Verification: 144.44376068212 ≈ 20864.

Simplified radical form

The square root of 20864 in simplified radical form is 8√326.

This is equivalent to √20864, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14420736
Upper or equal14521025

Nearby square roots

NumberSquare root
√20861144.4333756443
√20862144.4368374065
√20863144.4402990858
√20864144.4437606821
√20865144.4472221955
√20866144.4506836259
√20867144.4541449734

Number properties

Is 20864 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20864 is irrational because 20864 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 20864.