Question

If√2 = 1.414,√3 =1.732 then find the value of : 4 + 3 3√3 + 2√2 3√3 - 2√2

Answer 1

let root 2 be x = 1.414  and root 3 be y=1.732

4 + 3 3root 3 + 2root2 3root3-2root2  = 4 + 3(3y) +2x(3y) - 2x

= 4 + 9y + 6xy - 2x

substitute for x and y:

4 + (9 x 1.732) + (6 x 1.414 x 1.732) - (2 x 1.414)

4 + 15.588 + 14.694288 - 2.828

34.282288-2.828

= 31.454288