Question

if x=under +





if x=under root 2+under root 3 then find the value of x+1/x​

Answer 1

Answer:

the value will be 3 only............

Answer 2

Answer:

2√3

Step-by-step explanation:

x = √2+√3

$x+\frac{1}{x} = ?\\ \sqrt{2} +\sqrt{3} = x\\=\sqrt{2} +\sqrt{3}+\frac{1}{\sqrt{2} +\sqrt{3}}\\=\sqrt{2} +\sqrt{3}+\frac{1}{\sqrt{2} +\sqrt{3}}*\frac{\sqrt{2} -\sqrt{3}}{\sqrt{2} -\sqrt{3}}\\=\sqrt{2} +\sqrt{3}+\frac{\sqrt{2} -\sqrt{3}}{\sqrt{2}^{2} - \sqrt{3}^{2}}\\=\sqrt{2} +\sqrt{3}+\frac{\sqrt{2} -\sqrt{3}}{2 - 3}\\=\sqrt{2} +\sqrt{3}+\frac{\sqrt{2} -\sqrt{3}}{-1}\\=\sqrt{2} +\sqrt{3}+\frac{\sqrt{3} -\sqrt{2}}{1}\\=\sqrt{2} +\sqrt{3}+\sqrt{3} -\sqrt{2}\\=2\sqrt{3}$I hope this helps you.