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# hard core 1 surds question watch

1. 10+ 7root5 + 38/1+2root5
2. (Original post by ruby598)
10+ 7root5 + 38/1+2root5
I assume you want to simplify it... please state so in the question, also remove ambiguity by using brackets so it's 38/(1 + 2root5) not 38/1+2root5

In any case, you'll want to rationalise the by multiplying the top and bottom of the fraction by .
3. (Original post by ruby598)
10+ 7root5 + 38/1+2root5
How should you approach it? What have you tried so far?
4. Rationalise the denominator by multiplying by the conjugate. (You should have been taught this)
5. (Original post by Zacken)
I assume you want to simplify it... please state so in the question, also remove ambiguity by using brackets so it's 38/(1 + 2root5) not 38/1+2root5

In any case, you'll want to rationalise the by multiplying the top and bottom of the fraction by .

As we think ubisoft is staying, before rationalising the denominator we suggest you treat this as a fraction and get both numerators under a common denominator.

You will end up with 80 + ??SQRT5 divided by 1 + 2SQRT5

Then rationalising this as ubisoft suggests should be fairly easy. Good luck!
6. Thank you! Yes I did mean simplify thank you

Posted from TSR Mobile
7. Normally surds can be simplified in the form a√b or a√b + c. This can be achieved by breaking down the bigger surds and/or rationalising the denominator of any fraction. This question involves the latter.

Hope this helps,

Tom (IDK-tuition.com: online maths, economics and ACT tuition/resources)
8. Thank you!

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