Question

if a = 2+√3 find a - 1/a​

Answer 1

ANSWER

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.

Hope's it helps you

Answer 2

Answer:

Step-by-step explanation:

Put the value of a

in $a-1/a$

$2 + \sqrt{3} - 1/2+\sqrt{3} \\\\Take:LCM\\(2+\sqrt{3} )^2 -1/(2+\sqrt{3})$

open square

$4+4\sqrt3} +3$ - 1

$6+4\sqrt{3} /2+\sqrt{3} \\2(3+2\sqrt{3} )/(2+\sqrt{3})$