Question

If x = root 3 + root 2 , then find the value of :

1) x - 1/x
2) x² + 1/ x²




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Answer 1

Answer:

1)2√2

2)10

Step-by-step explanation:

1) x=√3+√2 then 1/x=√3-√2

=>x-1/x=√3+√2-(√3-√2)=2√2.

2) (x-1/x)^2=x^2+1/x^2-2x*(1/x)

=> (2√2)^2 =x^2+1/x^2-2

x^2+1/x^2=8+2=10.