If a = 3 + √2, b = 3-√2, then what is the value of a² + b²?

Correct option is B

Given:
a = $$3 + \sqrt{2}$$​​
b = $$3 - \sqrt{2}$$​​
Formula Used:
Algebraic Identity: $$(x + y)^2 + (x - y)^2 = 2(x^2 + y^2)$$​​
Solution:
We need to find the value of  $$a^2 + b^2.$$​​
Substitute the given values into the expression.
​$$(3 + \sqrt{2})^2 + (3 - \sqrt{2})^2$$​​
​$$= 2 × (3^2 + (\sqrt{2})^2)$$​​
= 2 × (9 + 2)
= 2 × 11 = 22
Final Answer
So the correct answer is (b)