1.

Simplified value of `sqrt(17+12sqrt(2)) - tan ((pi)/(8))` isA. `0`B. `1`C. `-1`D. `2`

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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