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What is the Square Root of 6721?

The square root of 6721 is 81.9817052762. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6721 = 81.9817052762
CalculatedNon-perfect squareIrrational
Exact form√6721
Perfect squareNo
Number typeIrrational
Verification81.98170527622 ≈ 6721

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How the answer is calculated

We solve x2 = 6721. The resulting value is x = 81.9817052762.

Verification: 81.98170527622 ≈ 6721.

Simplified radical form

The square root of 6721 in simplified radical form is √6721.

There are no square factors that can be taken outside the radical, so √6721 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√671881.963406469
√671981.9695065253
√672081.9756061277
√672181.9817052762
√672281.9878039711
√672381.9939022123
√672482

Number properties

Is 6721 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6721 is irrational because 6721 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 6721.