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What is the Square Root of 6664?

The square root of 6664 is 81.6333265278. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6664 = 81.6333265278
CalculatedNon-perfect squareIrrational
Exact form√6664
Perfect squareNo
Number typeIrrational
Verification81.63332652782 ≈ 6664

On this page

How the answer is calculated

We solve x2 = 6664. The resulting value is x = 81.6333265278.

Verification: 81.63332652782 ≈ 6664.

Simplified radical form

The square root of 6664 in simplified radical form is 14√34.

This is equivalent to √6664, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√666181.614949611
√666281.6210757096
√666381.6272013486
√666481.6333265278
√666581.6394512475
√666681.6455755078
√666781.6516993087

Number properties

Is 6664 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6664 is irrational because 6664 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 6664.