If `3sqrt(5) + sqrt(125)` = 17.88, then what will be the value of `sqrt(80) + 6sqrt(5)` ? Options: A . &nbsp13.41 B . &nbsp20.46 C . &nbsp21.66 D . &nbsp22.35

If `3sqrt(5) + sqrt(12

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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