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Simplified value of `sqrt(17+12sqrt(2)) - tan ((pi)/(8))` isA. `0`B. `1`C. `-1`D. `2` |
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Answer» Correct Answer - D Simplified value …………. `sqrt(17+12sqrt(2)) = sqrt(3^(2)+(2sqrt(2))^(2)+2.3(2sqrt(2)))` `= (3+2sqrt(2))` `4sqrt(17+12sqrt(12)) = sqrt(3+2sqrt(2)) = sqrt(2) + 1` and we know that `tan ((pi)/(8)) = sqrt(2) -1` ….(ii) from equation (i) and (ii) `=2` |
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