Question

If a=2- under root 3,then find the value of a-1/a.​

Answer 1

Answer:

$-2\sqrt{3}$

Step-by-step explanation:

$a = 2 -\sqrt{3}$

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

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