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What is the Square Root of 8193?

The square root of 8193 is 90.515192095. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8193 = 90.515192095
CalculatedNon-perfect squareIrrational
Exact form√8193
Perfect squareNo
Number typeIrrational
Verification90.5151920952 ≈ 8193

On this page

How the answer is calculated

We solve x2 = 8193. The resulting value is x = 90.515192095.

Verification: 90.5151920952 ≈ 8193.

Simplified radical form

The square root of 8193 in simplified radical form is √8193.

There are no square factors that can be taken outside the radical, so √8193 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal908100
Upper or equal918281

Nearby square roots

NumberSquare root
√819090.498618774
√819190.5041435516
√819290.5096679919
√819390.515192095
√819490.5207158611
√819590.5262392901
√819690.5317623821

Number properties

Is 8193 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8193 is irrational because 8193 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 8193.