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\sqrt{9702\times 97\times 96+1}
Multiply 99 and 98 to get 9702.
\sqrt{941094\times 96+1}
Multiply 9702 and 97 to get 941094.
\sqrt{90345024+1}
Multiply 941094 and 96 to get 90345024.
\sqrt{90345025}
Add 90345024 and 1 to get 90345025.
9505
Calculate the square root of 90345025 and get 9505.