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Answer:
- 28 +10√3
- 81 -30√2
- 54 +36√2
Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
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1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
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2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
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3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
