Answer:
The answer is 9
Step-by-step explanation:
Given that a = √3 + √2 and b = √3 - √2 . To be more easier, we do it one by one :
First, a² :
(√3 + √2)(√3 + √2)
= 3 + √6 + √6 + 2
= 5 + 2√6
Second, ab :
(√3 + √2)(√3 - √2)
= 3 - √6 + √6 - 2
= 1
Third, b² :
(√3 - √2)(√3 - √2)
= 3 - √6 - √6 + 2
= 5 - 2√6
Then, evaluate a² - ab + b² :
5 + 2√6 - 1 + 5 - 2√6
= 9
(Hope this can help)
