If a = 1039, then the value of √(4a2 - 4a + 1) + 3a is:

A    0.1039

B    0.2078

C    1.1039

D    2.1039

Solution

Correct Answer: Option C

 

√(4a2 - 4a + 1) + 3a = √ ((1)2 + (2a)2 - 2 x 1 x 2a) + 3a

   = √((1 - 2a)2)+ 3a

   = (1 - 2a) + 3a

   = (1 + a)

   = (1 + 0.1039)

   = 1.1039

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