[" If "1<=x<=2" then "sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1))=],[[" 1) "1," 2) "sqrt(x-1)," 3) "2," 4) "2sqrt(x-1)]]

The rank of [(1,1,1),(-1,1,1),(1,1,1)] is

The rank of [(1,-1,1),(1,1,-1),(-1,1,1)] is

The simplified value of ((1+1/(1+1/100))(1+1/(1+1/100))-(1-1/(1+1/100))(1-1/(1+1/100)))/((1+1/(1+1/100))+(1-1/(1+1/100))) is

If |(a,1,1),(1,b,1),(1,1,c)|=0 then show that 1/(1-a)+1/(1-b)+1/(1-c)=1

Show that 1+(1)/(a)+(1)/(b)+(1)/(c ) is a factor of |(1+a, 1, 1),(1, 1+b, 1),(1,1,1+c)| .

Show that Determinant of [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc (1+1/a+1/b+1/c)

If (a, 1, 1), (1, b, 1) and (1, 1, c) are coplanar then prove that (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=1 .

The simplest value of ((1+(1)/(2))(1+(1)/(3))(1+(1)/(4))....(1+(1)/(50)))/((1-(1)/(2))(1-(1)/(3))(1-(1)/(4)).....(1-(1)/(50))) is

If abc=1, show that (1)/(1+a+b^(-1))+(1)/(1+b+c)+(1)/(1+c+a^(-1))=1