what is 45-56-100+998+99+1000-1000
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(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
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