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Sa se calculeze: [1] + [√2] +[√3]+...+[√15]

Răspuns :

[√1]=1
[√2]=1
[√3]=1
[√4]=[√5]=...=[√8]=2
[√9]=[√10]=[√11}=..=[√15]=3
suma ceruta=
1=1+1+1+2*5+3*7= 3+10+21=34
[tex][\sqrt{1}]=[\sqrt{2}]=[\sqrt{3}]=1 \\ \\ [\sqrt{4}]=[\sqrt{5}]=[\sqrt{6}]=[\sqrt{7}]=[\sqrt{8}]=2 \\ \\ [\sqrt{9}]=[\sqrt{10}]=...=[\sqrt{15}]=3[/tex]
S = 1+1+1+2+2+2+2+2+3+3+3+3+3+3+3
= 3*1+5*2+7*3
= 3+10+21 = 34