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1. Can you please answer these questions and explain how you did it. Thank you x

1) (root32+root18)/3+root2

2) A rectangle has an area of 4root5-4 and al ength of one side is 1+root5. Find the length of the other side in the form a+bRoot5

3) Write (2rootX+3)/x in the form 2x^p + 3x^q where p and q are constants.

4) Given that 2x^2-x^3/2 can be written in the form 2x^p + x^q , write down the value of p and q.

Thank you so much xxxx
3. (Original post by M00ND4NC3R)
Can you please answer these questions and explain how you did it. Thank you x

1) (root32+root18)/3+root2

2) A rectangle has an area of 4root5-4 and al ength of one side is 1+root5. Find the length of the other side in the form a+bRoot5

3) Write (2rootX+3)/x in the form 2x^p + 3x^q where p and q are constants.

4) Given that 2x^2-x^3/2 can be written in the form 2x^p + x^q , write down the value of p and q.

Thank you so much xxxx
What have you tried?
4. For question 1, you divide by 3 - root2, instead of 3 + root2.
5. (Original post by Hanzou)
Attachment 585438
Sorry I didn't get the last one 😅

Posted from TSR Mobile
Posting full solutions is against the rules of this forum- it's much more helpful to guide the OP towards getting the answer themselves rather than giving it to them on a plate.
6. (Original post by Hanzou)
Attachment 585438
Sorry I didn't get the last one 😅

Posted from TSR Mobile
Thank you so much xxx
7. Q1:
1. Get top in terms of root 2 by simplifying into factors
2. Simplify
3. Rationalise the denominator

Q2:
1.Draw diagram (this always helps so much haha)
2. Name unknown side x
3. Form equation where both sides multiply to get the area
4. Solve equation to find x

Q3:
1. Split fractions into two parts with denominator x
2. Simplify each term (i.e. find in terms of indices instead of fractions, for example (a^3/2)/(a^2) = a^-1/2)

I'm not sure for Q4, see if you definitely copied down equation correctly and if yes try forming equations where you can factorise out factors of x

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Updated: October 9, 2016
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