What is the Square Root of 9364?

The square root of 9364 is 96.7677632272. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√9364 = 96.7677632272
CalculatedNon-perfect squareIrrational
Exact form√9364
Perfect squareNo
Number typeIrrational
Verification96.76776322722 ≈ 9364

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How the answer is calculated

We solve x2 = 9364. The resulting value is x = 96.7677632272.

Verification: 96.76776322722 ≈ 9364.

Simplified radical form

The square root of 9364 in simplified radical form is 2√2341.

This is equivalent to √9364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal969216
Upper or equal979409

Nearby square roots

NumberSquare root
√936196.7522609555
√936296.7574286554
√936396.7625960793
√936496.7677632272
√936596.7729300993
√936696.7780966955
√936796.7832630159

Number properties

Is 9364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√9364 is irrational because 9364 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 9364.