Correct option is B
Given:
√45+ √125 = 17. 88
Solution:
√45+ √125 = 17. 88
3√5 + 5√5 = 17.88
=> 3√5 + 5√5 = 17.88
=> 8√5 = 17.88
Now solve
√180+ √80
=> 6√5 + 4√5 = 10√5
=> 10√5 = 17.88 × (10√5/8√5)
=> 10√5 = 17.88 × (5/4)
=> 10√5 = 22.35
∴ The value of √180 + √80 is 22.35.