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1. Simplify ((2+√2)(3+√5)(√5−2))/((√5−1)(1+√2))

Sorry I tried to type this as an actual fraction on OneNote and copy and paste and didn't seem to work..

Answer is supposed to be root 2, no idea how to get there
2. (Original post by G.Y)
Simplify ((2+√2)(3+√5)(√5−2))/((√5−1)(1+√2))

Sorry I tried to type this as an actual fraction on OneNote and copy and paste and didn't seem to work..

Answer is supposed to be root 2, no idea how to get there
Might be simpler to deal with the roots of 5 and 2 being separated, ie then deal with each fraction separately by rationalising the denominator and obtaining the usual form. Then multiply the two.
3. (Original post by G.Y)
Simplify ((2+√2)(3+√5)(√5−2))/((√5−1)(1+√2))

Sorry I tried to type this as an actual fraction on OneNote and copy and paste and didn't seem to work..

Answer is supposed to be root 2, no idea how to get there
Unparseable or potentially dangerous latex formula. Error 4: no dvi output from LaTeX. It is likely that your formula contains syntax errors or worse.
\frac{(2+\sqrt 2) (3+\sqrt 5) (\sqrt 5-2)}{(\sqrt 5-1) (1+\sqrt 2)

EDIT: Ooops

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