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What is the Square Root of 85?

The square root of 85 is 9.2195444573. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√85 = 9.2195444573
CalculatedNon-perfect squareIrrational
Exact form√85
Perfect squareNo
Number typeIrrational
Verification9.21954445732 ≈ 85

On this page

How the answer is calculated

We solve x2 = 85. The resulting value is x = 9.2195444573.

Verification: 9.21954445732 ≈ 85.

Simplified radical form

The square root of 85 in simplified radical form is √85.

There are no square factors that can be taken outside the radical, so √85 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal981
Upper or equal10100

Nearby square roots

NumberSquare root
√829.0553851381
√839.1104335791
√849.1651513899
√859.2195444573
√869.2736184955
√879.3273790531
√889.3808315196

Number properties

Is 85 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√85 is irrational because 85 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 85.