৪সরল root 3 72 7 sqrt, সূচক ও লগারিদম, গণিত

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Question:৪সরল  `(root(3)(7^2) . root(3)(7))/sqrt(7)`

Answer সমাধান:  `(root(3)(7^2) . root(3)(7))/sqrt(7)`
            `= ((7^2)^(1/3) . 7^(1/3))/7^(1/2)`

            `= 7^(2/3 + 1/3 - 1/2)`

            `= 7^((4 + 2 - 3)/6)`

            `= 7^(3/6)`

            `= 7^(1/2)`

            `= sqrt (7)`    Ans.

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৪shorol `(root(3)(7^2) . root(3)(7))/sqrt(7)`

Question:৪সরল `(root(3)(7^2) . root(3)(7))/sqrt(7)`

Answer সমাধান: `(root(3)(7^2) . root(3)(7))/sqrt(7)` `= ((7^2)^(1/3) . 7^(1/3))/7^(1/2)` `= 7^(2/3 + 1/3 - 1/2)` `= 7^((4 + 2 - 3)/6)` `= 7^(3/6)` `= 7^(1/2)` `= sqrt (7)` Ans.