Question
The value of `sqrt(10+ sqrt(25 + sqrt( 108 + sqrt(154 + sqrt(225)))))` is
Answer: Option A
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Given exp. `sqrt(10+ sqrt(25 + sqrt( 108 + sqrt(154 + sqrt(225)))))`
`sqrt(10+ sqrt(25 + sqrt( 108 + sqrt(154 + 15 ))))`
=`sqrt(10 +sqrt(25 + sqrt(108 +sqrt(169))))`=
=`sqrt(10 + sqrt(25 + sqrt(108 + 13)))` = `sqrt(10 + sqrt(25 + sqrt(121)))`
= `sqrt (10 + sqrt(25 + 11))` = `sqrt(10 +sqrt(36))`
`sqrt(10 + 6)` = `sqrt(16)` = 4.
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