Find the square of:
(i) (root 7+3)
(ii) (root 5- root 3)
(iii) (4+2 root 3)
(iv) (6-3 root 2)
(v) (11-3 root 3)
Answers
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Answer:
1) √7 + 3 = (√7 + 3)²
= 7 + 9 + 2(√7)(3)
= 16 + 6√7
2) √5 - √3 = (√5 - √3)²
= 5 + 3 - 2(√5)(√3)
= 8 - 2√15
3) 4 + 2√3 = (4 + 2√3)²
= 16 + 12 + 2(4)(2√3)
= 28 + 16√3
4) 6 - 3√2 = (6 - 3√2)²
= 36 + 18 - 2(6)(3√2)
= 54 - 36√2
5) 11 - 3√3 = (11 - 3√3)²
= 121 + 27 - 2(11)(3√3)
= 148 - 66√3
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