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What is the Square Root of 6589?

The square root of 6589 is 81.1726554943. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6589 = 81.1726554943
CalculatedNon-perfect squareIrrational
Exact form√6589
Perfect squareNo
Number typeIrrational
Verification81.17265549432 ≈ 6589

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How the answer is calculated

We solve x2 = 6589. The resulting value is x = 81.1726554943.

Verification: 81.17265549432 ≈ 6589.

Simplified radical form

The square root of 6589 in simplified radical form is √6589.

There are no square factors that can be taken outside the radical, so √6589 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√658681.1541742611
√658781.1603351398
√658881.1664955508
√658981.1726554943
√659081.1788149704
√659181.1849739792
√659281.1911325207

Number properties

Is 6589 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6589 is irrational because 6589 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 6589.