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What is the Square Root of 285?

The square root of 285 is 16.8819430161. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√285 = 16.8819430161
CalculatedNon-perfect squareIrrational
Exact form√285
Perfect squareNo
Number typeIrrational
Verification16.88194301612 ≈ 285

On this page

How the answer is calculated

We solve x2 = 285. The resulting value is x = 16.8819430161.

Verification: 16.88194301612 ≈ 285.

Simplified radical form

The square root of 285 in simplified radical form is √285.

There are no square factors that can be taken outside the radical, so √285 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√28216.7928556237
√28316.8226038413
√28416.8522995464
√28516.8819430161
√28616.9115345253
√28716.9410743461
√28816.9705627485

Number properties

Is 285 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√285 is irrational because 285 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 285.