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If √45 +√125 = 17.89, then what will be the value of √180 +√80 ? (Give your answer to one decimal place.)
Question

If √45 +√125 = 17.89, then what will be the value of √180 +√80 ?
(Give your answer to one decimal place.)

A.

71.9

B.

13.5

C.

22.4

D.

21.6

Correct option is C

Given:
√45 +√125 = 17.89
Solution:
√45 +√125 = 17.89
=> 3√5 + 5√5 = 17.89
=> 8√5 = 17.89
Now solve

√180 +√80
=> 6√5 + 4√5 = 10√5
=> 10√5 = 17.89 × (10√5/8√5)
=> 10√5 = 17.89 × (5/4)
=> 10√5 = 22.4

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