Question

If x = √7, determine the value of x + 1/x.

• A. 8√7/7
• B. 7√7/8
• C. 7√7/9
• D. 9√7/7

Answer 1

Answer:

A. 8√7/7

Given $(x = \sqrt{7})$

We need:

$x + \frac{1}{x}$

First compute reciprocal:

$\frac{1}{x} = \frac{1}{\sqrt{7}} = \frac{\sqrt{7}}{7}$

Now add:

$\sqrt{7} + \frac{\sqrt{7}}{7}$

Take LCM:

$= \frac{7\sqrt{7} + \sqrt{7}}{7}$
$\frac{7\sqrt{7}+\sqrt{7}}{7}=\frac{8\sqrt{7}}{7}$

Therefore, the value is $( \frac{8\sqrt{7}}{7} )$