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What is the Square Root of 6667?

The square root of 6667 is 81.6516993087. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6667 = 81.6516993087
CalculatedNon-perfect squareIrrational
Exact form√6667
Perfect squareNo
Number typeIrrational
Verification81.65169930872 ≈ 6667

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How the answer is calculated

We solve x2 = 6667. The resulting value is x = 81.6516993087.

Verification: 81.65169930872 ≈ 6667.

Simplified radical form

The square root of 6667 in simplified radical form is √6667.

There are no square factors that can be taken outside the radical, so √6667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√666481.6333265278
√666581.6394512475
√666681.6455755078
√666781.6516993087
√666881.6578226504
√666981.6639455329
√667081.6700679564

Number properties

Is 6667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6667 is irrational because 6667 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 6667.