7. Simplify each of the following expressions:
(i) (3+√5)(2+√7) (ii) (5+√7)(5-√7) (iii) (√3 + √5)
2
(iv) (√7 − √3)
2
For question 7:
Use identities:
(1) (a + b)(c + d) = a x c + a x d +b x c + b x d .
(2) (a + b)( a – b) =
2
-
2
(3) (a + b)2 = a2 + b2 + 2ab
(4) (a - b)2 = a2 + b2
- 2ab
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