[tex]\large{\boxed{\sf{\sum\limits^{5}_{a=1} {(\sqrt{a}~)^2} = ...}}}[/tex]
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= [tex]\bf{\sum\limits^{5}_{a~=~1} {(\sqrt{a}~)^2} = ...}[/tex]
= (√a)²
= (√1)² + (√2)² + (√3)² + (√4)² + (√5)²
= (1 × 1) + (2 × 1) + (3 × 1) + (2 × 2) + (5 × 1)
= 1 + 2 + 3 + 4 + 5
= 3 + 3 + 4 + 5
= 6 + 4 + 5
= 10 + 5
= 15
Pembahasan :
Sigma
[tex]\large{\boxed{\sf{\sum\limits^{5}_{a=1} {(\sqrt{a}~)^2} = ...}}}[/tex]
[tex]\sf = \sqrt{(a)} {}^{2} [/tex]
[tex]\sf = \sqrt{(1)} {}^{2} + \sqrt{ {(2)}^{2} } + \sqrt{ {(3)}^{2} } + \sqrt{ {(4)}^{2} } + \sqrt{ {(5)}^{2} } [/tex]
[tex]\sf = ( 1 × 1 ) + ( 2 × 1 ) + ( 3 × 1 ) + ( 4 × 1 ) + ( 5 × 1 )[/tex]
[tex]\sf = 1 + 2 + 3 + 4 + 5[/tex]
[tex]\sf = 3 + 3 + 4 + 5[/tex]
[tex]\sf = 6 + 4 + 5[/tex]
[tex]\sf = 10 + 5[/tex]
[tex]\sf\color{red} = 15[/tex]
[answer.2.content]
