How can I solve 3/1+root 5 ?

Question

Hero · Answer

@Nicoley269 would you mind taking a screenshot of the problem you're working on and upload it here?

Nnesha · Answer

$$\frac{ 3 }{ 1+\sqrt{5} }$$

gabethebabe · Answer

^what u posted is an expression is the question a rationalization question?

Nnesha · Answer

multiply numerator and denominator by the conjugate of 1+sqrt{5}

Nicoley269 · Answer

What @Nnesha wrote is the the correct problem.

Nicoley269 · Answer

I don’t know how

Hero · Answer

If that's the case, multiply top and bottom by $1 - \sqrt{5}$

gabethebabe · Answer

do you understand the purpose of that step

Nicoley269 · Answer

I got up to$$3-3\sqrt{5}  /1+\sqrt{5} *1-\sqrt{5}$$

Hero · Answer

Great! So far you have
$\dfrac{3 - 3\sqrt{5}}{(1 + \sqrt{5})(1 - \sqrt{5})}$

All you have to do is just multiply the binomials in the denominator to do that you use the distributive property. Hopefully you're familiar with it: $a(b + c) = ab + ac$
In this case, let 
$a$ represent $1 + \sqrt{5}$ 
$b$ represent $1$
$c$ represent $-\sqrt{5}$

Hero · Answer

I can show you an example of how to multiply two binomials if you like

Nicoley269 · Answer

I I don’t get it. Would the denominator be 2?

Nicoley269 · Answer

yes please

Hero · Answer

Here's an example:
$\color\green{a}{(\color\red{b} + \color\purple{c})} = \color\green{a}\color\red{b} + \color\green{a}\color\purple{c}$
$
(\color\green{2 + \sqrt{6}})(\color\red{2} - \color\purple{\sqrt{6}}) 
\= \color\red{2}\color\green{(2 + \sqrt{6})} \color\purple{- \sqrt{6}}\color\green{(2 + \sqrt{6})}
\=4 + 2\sqrt{6} - 2\sqrt{6} - 6
\=4 - 6
\=-2
$

Hero · Answer

Hope that's not too confusing for you

Nicoley269 · Answer

oh. so i was correct. 2

Hero · Answer

That was just an example. I'd like to see you try multiplying the denominator on your own and posting all your steps here.

Nicoley269 · Answer

$$1(1-\sqrt{5})-\sqrt{5}(1+\sqrt{5})$$

Hero · Answer

Mistakes in red:
$1(1\color\red{-}\sqrt{5})-\sqrt{5}(1+\sqrt{5})$

Nicoley269 · Answer

i did minus.

Hero · Answer

The binomials in parentheses must be the same in order to multiply correctly

Nicoley269 · Answer

ok...

Nicoley269 · Answer

i got 2

Hero · Answer

Please show your work. All your steps.

Nicoley269 · Answer

nvm. its -4

Nicoley269 · Answer

|dw:1526178979452:dw| actually its 6

Nicoley269 · Answer

oops

Hero · Answer

6 is correct

Hero · Answer

|dw:1526179472176:dw|

Nicoley269 · Answer

thank you!