Question

If x=2+√3, then (1/x) is equal to:​

Answer 1

$\large\bold{\underline{\underline{Given:-}}}$

$x = 2 + \sqrt{3}$

$\large\bold{\underline{\underline{To\:find:-}}}$

$( \frac{1}{x} )$

$\large\bold{\underline{\underline{Solution:-}}}$

:⟼  $\frac{1}{2 + \sqrt{3} }$

:⟼  $\frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }$

:⟼  $\frac{1(2 - \sqrt{3} )}{( {2})^{2} - ( { \sqrt{3} })^{2} }$

:⟼  $\frac{2 - \sqrt{3} }{4 - 3}$

:⟼  $\frac{2 - \sqrt{3} }{1}$

:⟼  $2 - \sqrt{3}$

Note:

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

$\large\mathfrak{{\pmb{\underline{\red{Tornado77 }}{\red{❦}}}}}$

Answer 2

Answer:

2-√3

Step-by-step explanation:

I hope you get the answer in image