Question

If x=√13+2√3,find the value of x-1/x

Answer 1

Hey here is your answer..

Answer 2

Answer:

Step-by-step explanation:

Given the value of x= $\sqrt{13}+2\sqrt{3}$, then

$x-\frac{1}{x}=\sqrt{13}+2\sqrt{3}-(\frac{1}{\sqrt{13}+2\sqrt{3}})$

=$\sqrt{13}+2\sqrt{3}-(\frac{1}{\sqrt{13}+2\sqrt{3}}{\times}\frac{\sqrt{13}-2\sqrt{3}}{\sqrt{13}-2\sqrt{3}})$

=$\sqrt{13}+2\sqrt{3}-(\frac{\sqrt{13}-2\sqrt{3}}{13-12})$

=$\sqrt{13}+2\sqrt{3}-\sqrt{13}+2\sqrt{3}$

=$4\sqrt{3}$

which is the required value.