If `A = [ [ 3 , 5 ] , [ sqrt3 , 1 ] , [ 0 , -1 ]]` then find A`

If x= (1)/(sqrt3 + sqrt2), y= (1)/(sqrt3- sqrt2) then find (1)/(x +1) + (1)/(y+ 1)

Find ( sqrt(5) + 1 )/( sqrt(5 ) - 1) = ( A ) ( 3 + sqrt(5) )/2 ( A ) ( 3 - sqrt(5) )/2 ( A ) ( 3 + sqrt(5) )/4 ( A ) ( 3 - sqrt(5) )/4

If tan(A-B)=1/sqrt3 and cos(A+B)=1/2 , 0^@ltA,Blt90^@ , Then find the value of A+3B .

If x = (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) , find the value of x^(3) + (1)/(x^(3)) .

If sqrt(2) = 1.414, sqrt(3) = 1.732, sqrt(5) = 2.236 and sqrt(6) = 2.449 , find the value of (2+sqrt(3))/(2-sqrt(3)) +(2-sqrt(3))/(2+sqrt(3)) +(sqrt(3) -1)/(sqrt(3) +1)

Show that points (2-sqrt3 , sqrt3 +1) , (1,0) and (3,2) form an equilateral triangle .

Given A=[[sqrt(3),1,-12,3,0]] and B=[[2,sqrt(5),1-2,3,(1)/(2)]], find Aquad +B

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )