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# surd fractions watch

Express 2 in the form p√6 + q√3 + r √2, where the integers p,q and r are to be found.

2. You need to rationalise both fractions individually and then add them together. So multiply the left one by root3+1/root3+1 and the right one by root2-1/root2-1 and then it should add together
3. I got root2+2root3-root6
4. thats the answer so ill give that a try thank you so much
5. i still didn't get the answer I'm so confused would u be able to go through it step by step?
6. I tried solving it aswell as I have also had some problems with these roots, only a small question.
Is the 2 in front of the question part of it? If not then the answer is indeed as stated above.

Else its gets a different answer?
7. no i dont know where that 2 came from
8. (Original post by lucyhemsley)
i still didn't get the answer I'm so confused would u be able to go through it step by step?
How can you combine the two fractions? What can you do after that, with surds?

It may help to post your working
9. Step 1
-Multiply the top and the botton to rationalize the number.
Fractions in the form ; 1 ; multiply top and bottom by a - √b .
a + √b

As the book states and vice versa.

Fractions in the form ; 1 ; multiply top and bottom by a + √b .
a - √b

Try or retry it on a notepad and u will get the right answer.

-When u have worked that out it should look like this

(2√2)(√3+1) - (2√3)(√-1)
(√3-1)(√3+1) (√2+1)(√-1)
10. this is what i have done so far what do i do now?
11. Thats all you had to do just simplify..

2√6 divied by 2 leaves √6 it is already finished

What book are you using im using the EDEXCEL one
12. ahh thanks
yeah edexcel
13. (Original post by lucyhemsley)
Express 2 in the form p√6 + q√3 + r √2, where the integers p,q and r are to be found.Please help be by showing me how to answer this question. I have the answer as it is at the back of the book but i need it explained to me.
The first step is to rationalize (key word) each fraction. You do this by taking the denominator (bottom) and changing the sign. Therefore, you take the first fraction and times the top and the bottom by (√3 + 1). Take the next fraction and times by (√2 -1). Therefore, what do you end up with? See spoiler. Following this you simplify both fractions looking for common denominators. See second spoiler. Then just simplify your answer, especially when the question asks for it in it's simplest form (I know this doesn't but be careful)
Spoiler:
Show
[(2√6+2√2)/2]-[(2√6-2√3)/1]
Spoiler:
Show
(√6+√2)-(2√6-2√3)
Spoiler:
Show
√6+√2-2√6+2√3=√2-√6+2√3

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Updated: September 16, 2015
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