Question

If a = √3-√2/√3+√2 and b= √3 +√2/√3-√2 , find the value of a^2 + b^2 -5ab.

Answer 1

Answer: 93

Step-by-step explanation:

a = after solving  5-2√6

b = 5+2√6

a^2 = 25+24-20√6

b^2 = 25+24+20√6

-5ab = -5

a^2+b^2-5ab = 25+24-20√6+25+24+20√6-5

                      = 93