Question

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

Answer 1

(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