Question

if x =2-√3 value of (x-1/x)^3​

Answer 1

Answer:

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Answer 2

Answer:

(x-1)^3(26+$15\sqrt{3}$)

Step-by-step explanation:

We substitute for x:

((x-1)/(2-√3))^3

We cube 2-√3

$(2-\sqrt{3})^3\\=8-12(\sqrt{3} )+18-(3\sqrt{3})\\ =26-15\sqrt{3}$

Therefore we can write the fraction

$(x-1)^3/(26-15\sqrt{3})$

Since we can't have a sqrt on the bottom we multiple the opposite (26+$15\sqrt{3}$)

Therefore we get (x-1)^3(26+$15\sqrt{3}$})