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# simplifying in the form a+b?c ?? Watch

1. I've just been given a question:

Simplify the following in the form a + b?c where a, b and c are intergers:

a) (3+?2)^2

b) (2?3+4)(2-?3)

c) 2/?3-1

No need to actually give me the answers, just tell me how to simplify them

Must have been sleeping/generally not paying attention when I was supposed to learn these Or it could be that these questions were thrown in just to be evil and I was never taught them at all!

(probably the former )

2. OK, I don't know why my square root signs are showing up as question marks, sorry.
3. (Original post by james-brown28)
I've just been given a question:

Simplify the following in the form a + b?c where a, b and c are intergers:

a) (3+?2)^2

b) (2?3+4)(2-?3)

c) 2/?3-1

No need to actually give me the answers, just tell me how to simplify them

Must have been sleeping/generally not paying attention when I was supposed to learn these Or it could be that these questions were thrown in just to be evil and I was never taught them at all!

(probably the former )

For a and b, just expand the brackets and collect like terms. c is already in that form ( or it could be written -1+2rt3)
4. (Original post by james-brown28)
I've just been given a question:

Simplify the following in the form a + b?c where a, b and c are intergers:

a) (3+?2)^2

b) (2?3+4)(2-?3)

c) 2/?3-1

No need to actually give me the answers, just tell me how to simplify them

Must have been sleeping/generally not paying attention when I was supposed to learn these Or it could be that these questions were thrown in just to be evil and I was never taught them at all!

(probably the former )

Use this: (a+b) x (c+d) = ac+ad+bc+bd

Also use 1/sqr(3) = sqr(3)/3

where sqr is square root.

So (3+sqr(2))^2 = 9 + 2 + 6sqr(2) = 11 + 6sqr(2)
5. a) Use the fact that

b) Use similar ideas to above.

c) Rationalise the denominator.

6. (Original post by indifferencepersonified)
For a and b, just expand the brackets and collect like terms. c is already in that form ( or it could be written -1+2rt3)
No, the sqr ia at the bottom in c

2/?3-1 is in fact -1 + 2/3 sqr(3)
7. (Original post by Ienjoylife)
No, the sqr ia at the bottom in c

2/?3-1 is in fact -1 + 2/3 sqr(3)
No.

8. (Original post by Ienjoylife)
No, the sqr ia at the bottom in c

2/?3-1 is in fact -1 + 2/3 sqr(3)
I misread that, I didn't see the '/'
9. (Original post by Noble.)
No.

errmm excuse me but there were no brackets in the original stem (c). It showed as
10. (Original post by Ienjoylife)
errmm excuse me but there were no brackets in the original stem (c). It showed as
I'm fairly sure the question was a bog-standard rationalise the denominator question. Kind of pointless for

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Updated: December 1, 2010
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