Question

Please provide steps on how to solve this function: http://img.ctrlv.in/img/525c88cebe131.jpg

Answer 1

Hi Terezi!

Start with: \[
0=\frac{\sqrt{x+3}-\sqrt 3}{x}
\]

Answer 2

Multiply both sides by \(x\) \[
0=\sqrt{x+3}-\sqrt{3}
\]

Answer 3

Multiply both sides by the conjugate, which in this case is \(\sqrt{x+3}+\sqrt{3}\):\[
0=(\sqrt{x+3}-\sqrt{3})(\sqrt{x+3}+\sqrt{3})
\]This is difference of squares: \[
0=(x+3)-(3)
\]It simplifies to \[
x=0
\]