Can u guys help me With this!9th Grade Chapter-Numbers

1.	Can u guys help me With this!9th Grade Chapter-Numbers
Answer» SOLUTION : $1) \sf \: \: ( \sqrt{3} - \sqrt{2} ) ^{2}$ USING IDENTITY : $\bigstar\: \boxed{ \sf \: (a - b) ^{2} = {a}^{2} - 2ab + {b}^{2} }$ $\longrightarrow \sf \: (\sqrt{3} )^{2} - 2( \sqrt{3} ) (\sqrt{2} ) + ( \sqrt{2} )^{2}$ $\longrightarrow \sf \: 3 - 2 \sqrt{3 \times 2} + 2$ $\longrightarrow \sf \: 3 - 2 \sqrt{6} + 2$ $\longrightarrow \sf \red{5- 2 \sqrt{6} }$ ________________________________ $2) \sf \: \: ( \sqrt{7} + \sqrt{11} ) ^{2}$ Using identity : $\bigstar\: \boxed{ \sf \: (a + b) ^{2} = {a}^{2} + 2ab + {b}^{2} }$ $\longrightarrow \sf \: (\sqrt{7} ) ^{2} + 2( \sqrt{7} )( \sqrt{11} ) + (\sqrt{11} ) ^{2}$ $\longrightarrow \sf \: 7 + 2 \sqrt{7 \times 11} + 11$ $\longrightarrow \sf \red{18 + 2 \sqrt{77} }$ ________________________________ $3) \sf \: \: ( \sqrt{7} + 5)( \sqrt{7} + 3)$ Using identity : $\bigstar\: \boxed{ \sf \: (x+ a)(x + b) = {x}^{2} + ( a + b)x+ ab}$ $\longrightarrow \sf \:( \sqrt{7} ) ^{2} + (5 + 3 ) \sqrt{7} + ( 5 \times 3 )$ $\longrightarrow \sf \:7 + 8( \sqrt{7} ) + 15$ $\longrightarrow \sf \red{22 + 8 \sqrt{7} }$ ________________________________ $4) \sf \: \: ( \sqrt{3} - 1)( \sqrt{3} + 1)$ Using identity : $\bigstar\: \boxed{ \sf \: (a - b)(a +b) = {a}^{2} - {b}^{2} }$ $\longrightarrow \sf (\sqrt{3} ) ^{2} - (\sqrt{1} )^{2}$ $\longrightarrow \sf ( \sqrt{3} \times \sqrt{3} ) - ( \sqrt{1} \times \sqrt{1} )$ $\longrightarrow \sf 3 - 1$ $\longrightarrow \sf \red{2 }$

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