What is the Square Root of 8767?

The square root of 8767 is 93.6322593981. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8767 = 93.6322593981
CalculatedNon-perfect squareIrrational
Exact form√8767
Perfect squareNo
Number typeIrrational
Verification93.63225939812 ≈ 8767

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How the answer is calculated

We solve x2 = 8767. The resulting value is x = 93.6322593981.

Verification: 93.63225939812 ≈ 8767.

Simplified radical form

The square root of 8767 in simplified radical form is √8767.

There are no square factors that can be taken outside the radical, so √8767 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal938649
Upper or equal948836

Nearby square roots

NumberSquare root
√876493.6162379077
√876593.6215787092
√876693.626919206
√876793.6322593981
√876893.6375992858
√876993.6429388689
√877093.6482781475

Number properties

Is 8767 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8767 is irrational because 8767 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 8767.