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What is the Square Root of 857?

The square root of 857 is 29.2745623366. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√857 = 29.2745623366
CalculatedNon-perfect squareIrrational
Exact form√857
Perfect squareNo
Number typeIrrational
Verification29.27456233662 ≈ 857

On this page

How the answer is calculated

We solve x2 = 857. The resulting value is x = 29.2745623366.

Verification: 29.27456233662 ≈ 857.

Simplified radical form

The square root of 857 in simplified radical form is √857.

There are no square factors that can be taken outside the radical, so √857 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√85429.2232783924
√85529.2403830344
√85629.2574776767
√85729.2745623366
√85829.2916370318
√85929.3087017795
√86029.3257565972

Number properties

Is 857 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√857 is irrational because 857 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 857.