Calculations involving surds

Hello, I don’t know how they got the answer to question 3. Please help me understand.
IMG_20230204_114438
IMG_20230204_114954

Kia
this is another good question which requires the use of “indice rules”
5 Feb 23.docx (91.1 KB)
I have attached the answer on a word document
Please let me know if you need any more help
regards

how do you solve them?

The main formulae you need to keep in mind when convert between surds and powers:

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When you need to simplify an algebraic expression which contains roots and powers it is easier to convert everything into power form:

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Then you can apply the following formulae to simplify your expression:

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If you give some specific examples you struggle with, we can go through them here.