Multiply and combine like terms. Then explain what you notice about the two different results. (i) (√3+√2)(√3+√2) (ii) (√3+√2)(√3-√2)

Answer:(i) 5 + 2√6(ii) 1 - 2√6Step-by-step explanation: (i) (√3+√2)(√3+√2)⇒ √3(√3+√2) + √2(√3+√2)or⇒ (√3)² + (√3 × √2) + ( √2 ×√3 ) + ( √2 × √2 )or⇒ 3 + √6 + √6  + 2or⇒ 5 + 2√6(ii) (√3+√2)(√3-√2)⇒ √3(√3-√2) + √2(√3-√2)or⇒ ( √3 × √3 ) - ( √3 × √2) + ( √2 × √3 ) - ( √2 ×√2)or⇒ ( 3 ) - ( √6 ) + ( √6 ) - ( 2 )or⇒ 1 - 2√6