Question

If x = 2−√3/2+ √3
and y = 2+√3/2−√3, then find the value of x - y.

Answer 1

Answer:

-2√3/2+2√3

Step-by-step explanation:

x-y = 2-√3/2+√3 - (2+√3/2-√3)

= 2-√3/2+√3 - 2-√3/2+√3

= -2√3/2+2√3

I hope the answer is right !

Answer 2

Answer:

-8√3

Step-by-step explanation:

x = 2−√3/2+ √3 , and y = 2+√3/2−√3,

x - y= ?

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• x- y=  (2−√3)/(2+ √3) - (2+√3)/(2−√3)
• = ((2-√3)²- (2+√3)²)/(2+√3)(2−√3)=
• = (2-√3+2+√3)(2-√3-2-√3)/(4-3)=
• =4(-2√3)= -8√3