Question

" \frac{2[tex]\sqrt{3} " align="absmiddle" class="latex-formula">}{3$\sqrt{5}$} [/tex]

Answer 1

We have to rationalize the denominator and then, if we can, simplify.

I have to multiply for 1 but I write it $\frac{ \sqrt{5} }{ \sqrt{5} }$

So $\frac{2 \sqrt{3} }{3 \sqrt{5} }* \frac{ \sqrt{5} }{ \sqrt{5} }$ = $\frac{2 \sqrt{3} * \sqrt{5} }{3*5}$

Final result = $\frac{2 \sqrt{15} }{15}$