Question

if a= 2+√3 , then find the value of a+1/a​

Answer 1

Step-by-step explanation:

Given that,

a=2+

3

Then, Value of

a−

a

1

=2+

3

−

2+

3

1

=2+

3

−

2+

3

1

×

2−

3

2−

3

onrationalize

=2+

3

−

4−3

(2−

3

)

=2+

3

−2+

3

=2

3

Hence, this is the answer.

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Answer 2

Answer:

$a = 2 + \sqrt{3} \\ a + \frac{1}{a} \\ = (2 + \sqrt{3} ) + \frac{1}{2 + \sqrt{3} } \\ = (2 + \sqrt{3} ) + \frac{2 - \sqrt{3} }{4 - 3} \\ = 2 + \sqrt{3} + 2 - \sqrt{3} \\ = 4$

Step-by-step explanation:

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