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What is the Square Root of 8493?

The square root of 8493 is 92.1574739237. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8493 = 92.1574739237
CalculatedNon-perfect squareIrrational
Exact form√8493
Perfect squareNo
Number typeIrrational
Verification92.15747392372 ≈ 8493

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How the answer is calculated

We solve x2 = 8493. The resulting value is x = 92.1574739237.

Verification: 92.15747392372 ≈ 8493.

Simplified radical form

The square root of 8493 in simplified radical form is √8493.

There are no square factors that can be taken outside the radical, so √8493 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal928464
Upper or equal938649

Nearby square roots

NumberSquare root
√849092.1411959983
√849192.146622293
√849292.1520482681
√849392.1574739237
√849492.16289926
√849592.1683242768
√849692.1737489744

Number properties

Is 8493 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8493 is irrational because 8493 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 8493.