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What is the Square Root of 8764?

The square root of 8764 is 93.6162379077. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√8764 = 93.6162379077
CalculatedNon-perfect squareIrrational
Exact form√8764
Perfect squareNo
Number typeIrrational
Verification93.61623790772 ≈ 8764

On this page

How the answer is calculated

We solve x2 = 8764. The resulting value is x = 93.6162379077.

Verification: 93.61623790772 ≈ 8764.

Simplified radical form

The square root of 8764 in simplified radical form is 2√2191.

This is equivalent to √8764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal938649
Upper or equal948836

Nearby square roots

NumberSquare root
√876193.600213675
√876293.6055553907
√876393.6108968016
√876493.6162379077
√876593.6215787092
√876693.626919206
√876793.6322593981

Number properties

Is 8764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√8764 is irrational because 8764 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 8764.