Math, asked by poorab24, 9 months ago

if x =2+√3 find the x-1/x​

Answers

Answered by 1KingArjun
1

Answer:

2√3

Step-by-step explanation:

1/x = 1/2 + √3

= 1/2 + √3 × 2 - √3/2 - √3

= 2 - √3/(2 + √3)(2 - √3)

= 2 - √3 / (2)² - (√3)²

= 2 - √3 / 4 - 3

= 2 - √3/1

x - 1/x = 2 + √3 - (2 - √3)

= 2 + √3 - 2 + √3

= 2√3

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Answered by sattwikpanda83
1

Step-by-step explanation:

x = 2+√3

1/x = 1/2+√3

= 1(2-√3)/(2+√3)(2+√3)

= 2-√3/(2)²+(√3)²

= 2-√3/4-3

= 2-√3

Now,

x-1/x = [2+√3-(2-√3)]

= (2+√3-2+√3)

= (2√3)

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