Question

If x=√5+2, then find x² - 1/x²

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

X²=9+4√5

Now,

X²- 1/X²

9+4√5 - 1/9+4√5

Taking L.C.M.

81×16×5+72√5-1/9+4√5

160+72√5/9+4√5

Denominator rationalise

(160+72√5)(9-4√5)/(9+4√5)(9-4√5)

After solving this....

1440+648√5-640√5-288×5/81-80

8√5/1

8√5 Answer