the arithmetic mran of `3+sqrt(2),10-sqrt(2)` is

10sqrt(12) -: 2sqrt(3)

3sqrt(3)x^(2)+10x+sqrt(3)

sqrt(3)x^2+10x+8sqrt(3)

Three consecutive terms, in order, of an arithmetic sequence are x+sqrt(2),2x+sqrt(3), and 5x-sqrt(5) . Then x equals

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

If a=(4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

sqrt3x^2+10x+7sqrt3

For (1)/(asqrt(x)+bsqrt(y)) the rationalising factor is a asqrt(x)-bsqrt(y) . If x=(7sqrt(3))/(sqrt(10)+sqrt(3))-(3sqrt(2))/(sqrt(15)+3sqrt(2))-(2sqrt(5))/(sqrt(6)+sqrt(5)) , then value of x^(4)+x^(2) is