Can someone show me the steps to simplify this algebra problem please?

$\frac{5+\sqrt{3}}{2-\sqrt{3}}$

Question

Can someone show me the steps to simplify this algebra problem please?

$\frac{5+\sqrt{3}}{2-\sqrt{3}}$

jim_thompson5910 · Answer

hint: multiply top and bottom by $\large 2+\sqrt{3}$

anonymous · Answer

ok

anonymous · Answer

would it be $$10+\sqrt{9}$$ after multipling?

jim_thompson5910 · Answer

I'm assuming you got that after multiplying $\large (5+\sqrt{3})(2+\sqrt{3})$

anonymous · Answer

yeah

jim_thompson5910 · Answer

but that's not correct since you didn't FOIL

anonymous · Answer

oh

jim_thompson5910 · Answer

hint:

(a+b)(c+d)

is the same as

a(c+d) + b(c+d)

anonymous · Answer

I learned how to do this before but have forgotten how to do this type of math. I'm trying to help my nephew with his homework.

jim_thompson5910 · Answer

FOIL stands for First, Outer, Inner, Last

and it helps you multiply two binomials

jim_thompson5910 · Answer

anonymous · Answer

when you multiple the $$\sqrt{3} and the \sqrt{3}$$ does it equal $$\sqrt{9}$$ and then simplify further down to just 3?

anonymous · Answer

I figured it out thank you

anonymous · Answer

$$13+7\sqrt{3}$$

jim_thompson5910 · Answer

that's correct and you're welcome