Question

if a=2+/3 ,then find the value of a_1by a​

Answer 1

Step-by-step explanation:

$a = 2 + \sqrt{3} = > \frac{1}{a} = \frac{1}{2 + \sqrt{3} }$

rationalise the denominator of 1/a then we get

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

So a+1/a = 2+√3+2-√3 => 4 hence the value of a+1/a is 4. Hope it helps you

Answer 2

Answer:-

a-(1/a)=2_/3

Step-by-step explanation:

a=2+_/3

Therefore,

1/a=1/(2+_/3)

=1(2-_/3)/(2+_/3)(2-_/3)

=(2-_/3)/(4-3)

=(2-_/3)

Therefore,

a-(1/a)=(2+_/3)-(2-_/3)

=2_/3