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What is the Square Root of 6841?

The square root of 6841 is 82.710337927. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6841 = 82.710337927
CalculatedNon-perfect squareIrrational
Exact form√6841
Perfect squareNo
Number typeIrrational
Verification82.7103379272 ≈ 6841

On this page

How the answer is calculated

We solve x2 = 6841. The resulting value is x = 82.710337927.

Verification: 82.7103379272 ≈ 6841.

Simplified radical form

The square root of 6841 in simplified radical form is √6841.

There are no square factors that can be taken outside the radical, so √6841 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal826724
Upper or equal836889

Nearby square roots

NumberSquare root
√683882.6922003577
√683982.6982466561
√684082.7042925125
√684182.710337927
√684282.7163828996
√684382.7224274305
√684482.7284715198

Number properties

Is 6841 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6841 is irrational because 6841 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 6841.