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What is the Square Root of 869?

The square root of 869 is 29.478805946. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√869 = 29.478805946
CalculatedNon-perfect squareIrrational
Exact form√869
Perfect squareNo
Number typeIrrational
Verification29.4788059462 ≈ 869

On this page

How the answer is calculated

We solve x2 = 869. The resulting value is x = 29.478805946.

Verification: 29.4788059462 ≈ 869.

Simplified radical form

The square root of 869 in simplified radical form is √869.

There are no square factors that can be taken outside the radical, so √869 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√86629.4278779391
√86729.4448637287
√86829.4618397253
√86929.478805946
√87029.4957624075
√87129.5127091267
√87229.5296461205

Number properties

Is 869 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√869 is irrational because 869 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 869.