Question

If a = 2+ root3, then find the value of a -1/a

Answer 1

Answer:

a=2+√3

1/a=1/(2+√3)

=(2-√3)/(2+√3)(2-√3)

=(2-√3)/{(2)^2-(√3)^2}

=(2-√3)/(4-3)

=2-√3

so,

a-1/a

=(2+√3)-(2-√3)

=2+√3-2+√3

=2√3

Answer 2

Answer

$2+\sqrt{3} - \frac{1}{2+\sqrt{3} } \\\frac{(2 + \sqrt{3})^{2} - 1}{2+\sqrt{3} } \\\frac{4 + 9 + 4\sqrt{3} -1 }{2+\sqrt{3}} \\\frac{12 + 4\sqrt{3} }{2+\sqrt{3}}$

i hope this is right..

If yes...

have a great day

Step-by-step explanation: