Question

If x=2+V3 then find x+1/x​

Answer 1

➔ The answer is 4

➠ Solution : -

If x = 2 + √ 3

To find : --

x + 1 /x =?

☞ 2 + √ 3 + 1

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2+√ 3

☞ (2+√ 3) ² + 1

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(2+√ 3)

☞ 1+4+4√ 3 +3

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2+ √ 3

☞ 8+4√ 3

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2+√ 3

By rationalizing,

(8+4√ 3)(2-√ 3)

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4-3

= 16 - 12 = 4

refer the attachment for further information!

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