Question

if x=√3-√2 find the value of x+1/x

Answer 1

Answer:

Step-by-step explanation:

if x= √3-√2

x+1/x =1.732-1.414 +1/1.732-1.414

=0.318+ 1/0.318

0.318+3=3.318

Answer 2

Answer:

$x = \sqrt{3} - \sqrt{2}$

$\frac{x + 1}{x} = \frac{ \sqrt{3} - \sqrt{2} + 1 }{ \sqrt{3} - \sqrt{2} }$

$\frac{ \sqrt{3} - \sqrt{2} + 1 }{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } = \frac{ \sqrt{3} - \sqrt{2} + 1( \sqrt{3} + \sqrt{2} )}{3 + 2} = \frac{3 - \sqrt{2 \times 3} + \sqrt{3} + \sqrt{2 \times 3} - 2 + \sqrt{2} }{5}$

$\frac{1 + \sqrt{3} + \sqrt{2} }{5}$

that's is your answer