Question

I'll give you a metal if you help me please!!!!
Rationalize the denominator and simplify.


https://bradley.owschools.com/media/g_alg02_ccss_2014/7/q11174.gif

Answer 1

multiply top and bottom times the conjugate of the denominator.

Answer 2

What is the conjugate of the denominator in this equations?

Answer 3

btw, using equation editor, use ` \frac{ }{ } ` for a fraction.

Answer 4

A conjugate for any \(\large\color{black}{ a-b }\), is \(\large\color{black}{ a+b }\).

Answer 5

Can you write that out for me please.

Answer 6

\[\left( \frac{ 3\sqrt{6}+5\sqrt{2} }{ 4\sqrt{6}-3\sqrt{2} } \right)\left( \frac{ 4\sqrt{6}+3\sqrt{2} }{ 4\sqrt{6}+3\sqrt{2} } \right)\]

Answer 7

@holten if you remember from the last time, solve this and you will have your answer.

Answer 8

So I just put all of this in my calculator?

Answer 9

Use FOIL in order to properly distribute the values when multiplying.

Answer 10

You could, but since the problem says simplify, it looks like the teacher wants you to put it in a fractional form with an exact solution

Answer 11

yeah, it has to be in fraction form. I keep getting decimals.

Answer 12

That's because you are plugging into a calculator. You can solve this problem algebraically and get a fractional answer.

Answer 13

Here's a hint:
\[(a+b)(c+d)=ac+ad+bc+bd\]

Answer 14

Can you break down the problem and solve it. Like show me the steps and how you get the answer?

Answer 15

I'll guide you along if you can show me your attempt of a solution.

Answer 16

Okay. Well, they gave me an example it was