⌊√1⌋,⌊√2⌋,⌊√3⌋ These 3 terms each equal 1
⌊√4⌋,⌊√5⌋⋅⋅⋅,⌊√8⌋ These 5 terms each equal 2
⌊√9⌋,⌊√10⌋⋅⋅⋅,⌊√15⌋ These 7 terms each equal 3
⌊√16⌋,⌊√17⌋⋅⋅⋅,⌊√24⌋ These 9 terms each equal 4
⌊√25⌋,⌊√26⌋⋅⋅⋅,⌊√29⌋ These 5 terms each equal 5
Thus, the sum is (5×5)+(9×4)+(7×3)+(5×2)+(3×1)=95
Hey there, Guest!
So I just wrote out all the square roots:
√1+√2+√3+√4+√5+√6+√7+√8+√9+√10√11+√12+√13+√14+√15+√16+√17+√18+√19+√20+√21+√22+√23+√24+√25+√26+√27+√28+√29
It's probably not the smartest idea, but it works.
Then I simplified all the possible squares.
15+√110+√13+√14+√15+√17+√19+6√2+√21+√22+√23+√26+√29+6√3+3√5+3√6+3√7
Then you can simplify that into a decimal and you get 110.61.
And yes, I used a calculator for the last part, because who wants to do that by hand?
Not me, haha.
Hope this helped! :)
( ゚д゚)つ Bye
⌊√1⌋,⌊√2⌋,⌊√3⌋ These 3 terms each equal 1
⌊√4⌋,⌊√5⌋⋅⋅⋅,⌊√8⌋ These 5 terms each equal 2
⌊√9⌋,⌊√10⌋⋅⋅⋅,⌊√15⌋ These 7 terms each equal 3
⌊√16⌋,⌊√17⌋⋅⋅⋅,⌊√24⌋ These 9 terms each equal 4
⌊√25⌋,⌊√26⌋⋅⋅⋅,⌊√29⌋ These 5 terms each equal 5
Thus, the sum is (5×5)+(9×4)+(7×3)+(5×2)+(3×1)=95