What is the Square Root of 873?

The square root of 873 is 29.5465734054. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√873 = 29.5465734054
CalculatedNon-perfect squareIrrational
Exact form√873
Perfect squareNo
Number typeIrrational
Verification29.54657340542 ≈ 873

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How the answer is calculated

We solve x2 = 873. The resulting value is x = 29.5465734054.

Verification: 29.54657340542 ≈ 873.

Simplified radical form

The square root of 873 in simplified radical form is 3√97.

This is equivalent to √873, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal29841
Upper or equal30900

Nearby square roots

NumberSquare root
√87029.4957624075
√87129.5127091267
√87229.5296461205
√87329.5465734054
√87429.5634909982
√87529.5803989155
√87629.5972971739

Number properties

Is 873 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√873 is irrational because 873 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 873.