Question

If x = 2 -√3 , find the value of (x-1/x)^3. plz show working

Answer 1

Answer:

-1- 3 root 3

Step-by-step explanation:

(x-1/x)^3 = (2-root 3 - 1/ 2-root3)^3

= (-1-root 3)^3    [ by rationalization]

= -1 - 3 root 3

Answer 2

Answer:

-19-11

Step-by-step explanation:

subtract 2-1 in the numerator, and expand (a-b)^3 in the denominator=,add the numbers and collect like terms in the denominator=

, multiply the fraction by=

, using (a+b)(a-b)=a^2-b^2 simplify the product, multiply the numbers in the denominator,you should get 1 and because any number divided by 1 remains the same, we get, we simplify the expression and we get -19-11.