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9 is the square number after 8.
The square root of 86 is approximately 9.2736. To find this, you can first estimate the square root of 86 to be between 9 and 10. Then, using a method like the Babylonian method, you can iteratively refine your estimate until you reach a desired level of accuracy.
The next perfect square after 81 (92) is 100 (102).
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