Question

If both x and y are rational numbers, then find the values of x and y in below case.

2-√3/2+√3=x+y√3

Answer 1

Answer:

x=7 and y=-4

Step-by-step explanation:

(2-√3)/(2+√3) *(2-√3)/(2-√3) rationalization

(4+3-4√3)/(4-3)

7-4√3

but it is given as x+y√3

so 7-4√3=x+y√3

x=7 and y=-4

Answer 2

Answer:

X = 2 and Y = (-1\2)

Step-by-step explanation:

2 - (√3/2) + √3 = x + y√3

after solving this we get :-

.

2 - (√3/2) + √3 = 2-(√3/2)

x + y√3 = 2-(√3/2)

so, x = 2 and y = (-1/2)