Question

If a = √3+√2 and b = √3 – √2 , find the value of a^2 + b^2

Answer 1

Answer:

10

Step-by-step explanation:

a = √3+√2, b = √3-√2

a+b = √3+√2+√3-√2 = 2√3

ab = (√3+√2)(√3-√2) = 3-2 = 1

a²+b² = (a+b)² - 2ab

= (2√3)² - (2×1)

= 12 - 2

= 10