If 3√5 + √125 = 88, then what will be the value of √80 + 6√5?

A    13.41

B    20.46

C    21.66

D    22.35

Solution

Correct Answer: Option D

 

3√5 + √125 = 17.88

=> 3√5 + √(25 x 5) = 17.88

=> 3√5 + 5√5 = 17.88

=> 8√5 = 17.88

=> √5 = 2.235

So, √80 + 6√5 = √(16 x 5) + 6√5

   = 4√5 + 6√5

   = 10√5 = (10 x 2.235) = 22.35

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