Question

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

Answer 1

Step-by-step explanation:

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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.

Answer 2

Answer:

√3-1 is the correct answer.

Step-by-step explanation:

a=2+√3

a-1/a

=2+√3-1/2+√3

now rationalize the denominatior

1+√3/2+√3

=1+√3/2+√3 x 2-√3/2-√3

=1(2-√3)+√3(2-√3)/(2)^2-(√3)^2

=2-√3+2√3-3/4-3

=-3+2-√3+2√3/1

=-1+√3

thus the answer is √3-1 or -1+√3