Question

3+2root2/ 3-2root2=a+b root2 find a and b

Answer 1

this is the answer.....

Answer 2

Hiii friend,


3+2✓2/3-2✓2

Rationalizing the denominator 3-2✓2


=> 3+2✓2/3-2✓2 × 3+2✓2/3+2✓2


=> (3+2✓2)²/(3-2✓2)(3+2✓2)


=> (3)² + (2✓2)² + 2 × 3 × 2✓2/(3)² -(2✓2)²


=> 9 + 8 + 12✓2/9 - 8


=> 17+12✓2/1


=> 17+12✓2


LHS = RHS


17+12✓2 = A+B✓2


Hence,


A = 17 and B = 12



HOPE IT WILL HELP YOU..... :-)