find the value of
(`3`+`sqrt3`)`xx`(`2`+`sqrt2`)

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

If P+Q=(7pi)/(6) , then find the value of (sqrt(3)+tanP)xx(sqrt(3)+tanQ) .

Find the value of log_(2sqrt3) 1728 .

if sqrt2=1.414and sqrt3=1.732 then find the value of 4/(3sqrt3-2sqrt2)+3/(3sqrt3+2sqrt2)

If sqrt(3) = 1.73 find the value of : (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)-(sqrt(3)+1)/(sqrt(3)-1) .

If sqrt(2)=1*4 and sqrt(3)=1*7 , find the value of 1/(sqrt(3)-sqrt(2)) , correct to one place of decimal.

Find the value of : sin^(-1) (sqrt(3)/2)

Find the value of (log)_(2sqrt(3))1728.

Find the value of (log)_(2sqrt(3))1728.

Find the value of x in sqrt(x+2sqrt(x+2sqrt(x+2sqrt(3x))))...=x.