Saved Bookmarks
| 1. |
What is 45-56-100+998+99+1000-1000 |
|
Answer» (3 + √3) (2 + √2) = 6 +3√2 + 2√3 + √6 (II) (3 + √3) (3 – √3) = (3)² – (√3)² [√3 × √3 = 3] [∵ (a + b) (a – b) = a² – b²] = 9 – 3 (3 + √3) (3 – √3) = 6 (iii) (√5 + √2)² = (√5)² + (√2)² + 2 ×√5 × √2 [∵ (a + b)² = a² + b² + 2ab] = 5 + 2 + 2 × √(5× 2) (√5 + √2)² = 7 + 2√10 (iv) (√5 – √2) (√5 + √2) = (√5)² – (√2)² [∵ (a + b) (a – b) = a² – b²] = 5 – 2 (√5 – √2) (√5 + √2) = 3 |
|