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If √45+ √125 = 17. 88 then what will be the value of √180+ √80?
Question

If √45+ √125 = 17. 88 then what will be the value of √180+ √80?

A.

21. 6

B.

22. 35

C.

13. 4

D.

22. 2

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.

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