Question

IF X=2+√3,find x-¹x
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Answer 1

Answer:

(2+√3)^-1 (2+√3)

= 1/(2+√3)(2+√3)

= 1

Answer 2

Answer:

x-1/x=2√3

Step-by-step explanation:

It is given that x=2+√3

Therefore, 1/x=1/2+√3*2-√3/2-√3 [Rationalising]

1/x=2-√3/(2)²-(√3)²

1/x=2-√3/4-3

1/x=2-√3

now,

x-1/x=2+√3-(2-√3)

x-1/x=2+√3-2+√3

x-1/x=2√3

Hope it helps...

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