Step-by-step solution for: (√2+√10)^2
Note: √a * √a = a √a * √b = √ab (√2 + √10)² = (√2 + √10)(√2 + √10) = √2(√2 + √10) + √10(√2 + √10) = √2*√2 + √2*√10 + √10*√2 + √10*√10 = 2 + √20 + √20 + 10 = (2 + 10) + (√20 + √20) = 12 + 2√20 √20 = √(4 *5) = √4 * √5 = 2√5 = 12 + 2√20 = 12 + 2(2√5) = 12 + 4√5
Note: √a * √a = a √a * √b = √ab (√2 + √10)² = (√2 + √10)(√2 + √10) = √2(√2 + √10) + √10(√2 + √10) = √2*√2 + √2*√10 + √10*√2 + √10*√10 = 2 + √20 + √20 + 10 = (2 + 10) + (√20 + √20) = 12 + 2√20 √20 = √(4 *5) = √4 * √5 = 2√5 = 12 + 2√20 = 12 + 2(2√5) = 12 + 4√5