Answer:
Step-by-step explanation:
- [tex]\sqrt{3}[/tex] is same as [tex]\sqrt{300} /10[/tex] which is between [tex]\sqrt{289}/10=17 /10= 1.7[/tex] and [tex]\sqrt{324}/10=18/10=1.8[/tex]
and
- [tex]\sqrt{5}[/tex] is same as [tex]\sqrt{500} /10[/tex] which is between [tex]\sqrt{484}/10=22 /10= 2.2[/tex] and [tex]\sqrt{529}/10=23/10=2.3[/tex]
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 [tex]\sqrt{3}+\sqrt{5}[/tex] is closer to 3.9
The best choice is 3.9
