Question

a=√3+√2/√3-√2 and b=√3-√2/√3+√2 then find square of a+square of b -5ab=???

Answer 1

HEY THERE...

a= (√3-√2)/(√3+√2)
= (√3-√2)/(√3+√2)× (√3-√2)/(√3-√2) [rationalizing it]
= (√3 -√2)²/1 = (√3 -√2)² = 5- 2√6
b= (√3+√2)/(√3-√2)×(√3+√2)/(√3+√2) [rationalizing it]
= (√3+√2)²/1 =(√3+√2)² = 5+2√6
now, a²+b² - 5ab 
= (5-2√6)² + (5+2√6)² - 5(5-2√6)(5+2√6)
= 25 +24 -20√6 +25 +24 + 20√6 - 5(25-24)
= 98 -5 = 93

HOPE MY ANSWER HELPED!