[tex] \underline{\large \bf{Required \: Answer}} : - [/tex]
[tex] \dashrightarrow \: \red{\large8}[/tex]
[tex] \sf[/tex]
[tex] \underline{ \large{ \rm \pink{SolutioN}}} \: -[/tex]
[tex] \quad \qquad\sf \: {(a + b)}^{2} = 10[/tex]
[tex] \qquad \: \: \to\: \: \sf{a}^{2} + {b}^{2} + 2ab = 10[/tex]
[tex] \qquad\: \: \to\: \: \sf{a}^{2} + {b}^{2} + 2(1) = 10[/tex]
[tex] \qquad\: \: \to\: \: \sf \: {a}^{2} + {b}^{2} = 10 - 2[/tex]
[tex] \qquad\: \:\bf \to\: \: \: {a}^{2} + {b}^{2} = 8[/tex]
[tex] \sf[/tex]
[tex] \sf \therefore \: 8 \: \: is \: \: the \: \: required \: \: answer[/tex]
[tex] \rule{200pt}{2pt}[/tex]