Question

If X=2+√3,find the value of X+1/X​

Answer 1

4

Step-by-step explanation:

Given, X=2+√3

X+1/X

2+√3 +1/2+√3

2+√3 + $\frac{1 }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } = \frac{2+√3 + 2-√3 }{2 {}^{2} - {( \sqrt{3} )}^{2} }$

4/4-3

4/1

Answer 2

Answer:

4

Step-by-step explanation:

x=2+√3

1/x=1/2+√3

=1×2-√3/(2+√3)(2-√3)

=2-√3/4-3

=2-√3/1

1/x=2-√3

x+1/x=(2+√3)+(2-√3)

x+1/x = 4