Surds.....

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So im basically stuck with surds in year 9. It is confusing to me , here is a few screenshots of the questions. (there is 20 questions in total)

http://prntscr.com/cszab4
http://prntscr.com/cszai9 For this one , there is 3 questions but im done 2 of them
http://prntscr.com/cszaro
http://prntscr.com/cszavz
http://prntscr.com/cszb1n
http://prntscr.com/cszb4d
http://prntscr.com/cszb8s
http://prntscr.com/cszbja
http://prntscr.com/cszbn2
http://prntscr.com/cszbqx
http://prntscr.com/cszbv9
http://prntscr.com/cszbz9
http://prntscr.com/cszc42
http://prntscr.com/cszc7n
http://prntscr.com/cszca4
http://prntscr.com/cszcdd
http://prntscr.com/cszcfw
http://prntscr.com/cszcio

Sorry there is so many but its due tomorrow (i know some people is gonna be like dont leave it to the last day but i forgot) Thanks again.
 
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I am Year 12 and I still don't understand them (not that I need to know because I have passed my GCSEs) but MyMaths might be somewhat helpful? Liaising with your teacher during break or something will be the best option though.
 
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Haven't done this shit in a while, so if I get something wrong, then don't complain.

1. √6 x √6 x √6 = √6x36 = 6√6
2. √50 = √2x25 = 5√2
3. √18/√8 = √2x9 / √2x4 = 3√2 / 2√2
4. 5√5 - 2√5 = 3√5
4(b). 8√7 + 3√7 = 11√7
5. √8 = √2x4 = 2√2
5(b). √12 = √3x4 = 2√3
5(c). √32 = √2x16 = 4√2
6. √15 / √3 = √5 / √1 = √5
7. 7√3 - 2√3 + √3 - 3√3 = 3√3
7(b). 5√7 + 4√7 - 8√7 = √7
8. 9√3 - 4√3 + √5 + 2√5 = 5√3 + 3√5
8(b). 10√2 + 4√7 - 6√2 = 4√2 + 4√7
9. √3 x √6 = √18 = √2x9 = 3√2
9(b). √8 x √18 = √144 = √4x36 = 6√4
10. (√7)^2 = √7 x √7 = √49 = 7
10(b). (4√2)^2 = 32
11.√3(√3-1) = 3 - √3
11(b). √5(√10 + √2) = √50 + √10 = 5√2 + √10
12. √12 x √8 = √96 = √6x16 = 4√6
13. (4 + √2)(6 - √2) = 22 + 2√2
14. (√6 + √3)(√6 - √3) = √36 - √9 = 3
14(b). (√5 - √12)(√2 + √5) = 3
15. (7 + √6)^2 = 55 + 14√6
16. 1 / √5 = √5 / 5
16(b) 5 / √3 = 5√3 / 3
17. √15 / √5 = √3
17(b). √3 / √6 = √2 / 2
 
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http://prntscr.com/cszab4
6 radical 6
http://prntscr.com/cszai9
5 radical 2
http://prntscr.com/cszaro
3 radical 2 OVER 2 radical 2
http://prntscr.com/cszavz
a) 3 radical 5
b) 11 radical 7
http://prntscr.com/cszb1n
4 radical 2
http://prntscr.com/cszb4d
Radical 5
http://prntscr.com/cszb8s
a)3 radical 3
b) Radical 7

I decided to answer some for you. I don't have a radical sign on my keyboard but at least you know the answer. Algebra is easy, I'm pretty sure about my answers but I'm still human so there might be some mistakes. I'll explain one for you. When you get a number with a radicant added to another number with the same radicant then you just add them normally. The radicant stays the same. It's really hard to explain through text so hopefully you understand what I mean.

For example 8 radical 7 + 10 radical 7 + 2 radical 7 = 20 radical 7.

-Edit- Didn't realize someone already answered them. RIP
 
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