nested radical

Screenshot 2020-09-18 at 11.10.22.png

Yes I dont understand how they derived the radical in this bit. I dont get it.
 
Can you square what is inside the parenthesis? Then subtract it from 1?
 
Sonal7 said:
give me some time to think and show you some workings. sorry i forget how hard it is for you to read my mind. ?
Click to expand...
I have trouble reading my own mind. Come to think of it I can probably read your mind better than my mind.
 
I ll try it on latex

[MATH]1-(\frac{\sqrt3 -1}{\sqrt3+1})^2[/MATH][MATH]1-(\frac{4-\sqrt2}{4+2\sqrt2})[/MATH][MATH]\frac{4\sqrt2}{4+2\sqrt2}[/MATH]
This is just the numerator ? I didnt even get that far. Just till here. hang on this does work i think

Now the denominator:
[MATH]1+(\frac{4-2\sqrt2}{4+2\sqrt2})[/MATH][MATH]\frac{4+2\sqrt2+4-2\sqrt2}{4+2\sqrt2}[/MATH][MATH]\frac{8}{4+2\sqrt2}[/MATH][MATH]\frac{4}{2+\sqrt2}[/MATH]
 
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when i divide numerator by the denominator i got:
[MATH]\frac{2\sqrt2}{4}[/MATH]
 
I got there in the end. I think i got both the denominator and the numerator. I think there is a error in the answer book in that that nested radical shouldnt really be there as one of the steps. Damn publishers! I am so sorry to waste peoples time with erroneous answers from booklets. I now just know when its mistyping.
 
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