15. Simplify each of the following expressions:
(i) (4 + 2/3) (7 +312) (ii) (7 + 3) (7-13
(iii) (275+77) ?
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Answer:Given : (i) (4 + √7) (3 + √2)
= 3(4 + √7) +√2 (4 + √7)
= 12 + 3√7 + 4√2 + √14
(ii) (3 + √3) (5 - √2)
3(5 -√2) + √3(5 - √2)
⇒ 3 × 5 - 3√2 + 5√3 - √3 ×√2
⇒ 15 - 3√2 + 5√3 - √6
(iii) Given : (√5 - 2) (√3 - √5)
⇒ √3(√5 - 2) -√5(√5 - 2)
⇒ √5 × √3 - 2√3 - √5 × √5 + 2√5
⇒ √15 - 2√3 - 5 + 2√5
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