Question

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Which answer shows the best approximation of V3+ V5?
O 4.1
2.8
O 3.7
O 3.9

Answer 1

• C. 3.9

Explanation:

• 
  `√(3)` is same as
  `√(300) /10` which is between
  `√(289)/10=17 /10= 1.7` and
  `√(324)/10=18/10=1.8`

and

• 
  `√(5)` is same as
  `√(500) /10` which is between
  `√(484)/10=22 /10= 2.2` and
  `√(529)/10=23/10=2.3`

Their sum is between:

• 1.7 + 2.2 = 3.9 and 1.8 + 2.3 = 4.1 but closer to the first one considering the difference 300 - 289 < 324 - 300, also 500 - 484 < 529 - 500

So the sum
`√(3)+√(5)` is closer to 3.9

The best choice is 3.9