" 5.if "(sqrt(a+3b)+sqrt(a-3b))/(sqrt(a+3b)-sqrt(a-3b))" ,prove that "3bx^(2)-2ax+3b=0

If x = (sqrt(a + 3b) + sqrt(a - 3b))/ (sqrt(a + 3b) - sqrt(a - 3b)) prove that : 3bx^(2) - 2ax + 3b = 0 .

If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) , then prove that b ^2-ax+b=0

If x = (sqrt(a+2b) + sqrt(a-2b))/(sqrt(a+2b) -sqrt(a-2b)) then prove that bx^2 -ax + b =0

If x = (sqrt(2a + 3b)+sqrt(2a - 3b))/(sqrt(2a + 3b) - sqrt(2a - 3b)) , show that 3bx^(2) - 4ax + 3b = 0 .

If x=(sqrt(a+2b)-sqrt(a-2b))/(sqrt((a+2b))+sqrt((a-2b))) , show that bx^(2)-ax+b=0

If x= (sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) , then show that bx^2-ax+b=0

if x = (sqrt(3a + 2b) + sqrt(3a - 2b))/(sqrt(3a + 2b) - sqrt(3a - 2b)) prove that : bx^(2) - 3ax + b = 0

x = ( sqrt ( a + b ) - sqrt (a -b ))/( sqrt (a +b ) + sqrt (a -b )), then what is bx ^(2) - 2ax + b equal to (b ne 0) ?

(3-sqrt(6))/(3+2sqrt(6))=a sqrt(6)-b