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Question

If `3sqrt(5) + sqrt(125)`  = 17.88, then what  will be  the value of `sqrt(80) + 6sqrt(5)`  ?


Options:
A .  13.41
B .  20.46
C .  21.66
D .  22.35
Answer: Option D

`3sqrt(5) + sqrt(125)`  = 17.88,    `rArr` ` 3sqrt(5) + sqrt(25 xx 5)`  =  17.88

   `rArr`  `3sqrt(5) + 5sqrt(5)` = 17.88    `rArr` ` 8sqrt(5)` = 17.88    `rArr` ` sqrt(5) `=  2.235.

`:.`  `sqrt(80) + 6sqrt(5)` =  `sqrt(16 xx 5) + 6sqrt(5)` = `4sqrt(5) + 6sqrt(5)` =  `10sqrt(5)`

= (10 x 2.235) =  22.35




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