2a^(2)+2sqrt(6)ab+3b^(2)

Factorize: 2a^2+\ 2sqrt(6)a b+3b^2

If a^(2) +b^(2) = x, ab = y then the value of (a^(4) +b^(4))/(a^(2) -ab sqrt(2) +b^(2)) is

Find the values of a and b if (6)/(3sqrt(2)-2sqrt(3))=a sqrt(2)-b sqrt(3)

Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2)) , if x= a^(2) + b^(2) and y= ab sqrt2

If a= (sqrt(5) + sqrt(2))/(sqrt(5) -sqrt(2)) and b = (sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)) show that 3a^(2) + 4ab -3b^(2) = 4 +(56)/(3) sqrt(10)

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

If a and b are rational numbers and (sqrt(2)+2sqrt(3))/(2sqrt(2)+sqrt(3))=a+b sqrt(6)