Surds

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

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

\dfrac{2+\sqrt{2}}{1+\sqrt{2}} \cdot \dfrac{(3+\sqrt{5})(\sqrt{5}-2)}{\sqrt{5}-1}

then deal with each fraction separately by rationalising the denominator and obtaining the usual form. Then multiply the two.

Reply 2

username3434964

21

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 latex formula:

\frac{(2+\sqrt 2) (3+\sqrt 5) (\sqrt 5-2)}{(\sqrt 5-1) (1+\sqrt 2)

EDIT: Ooops

(edited 6 years ago)

Surds

Quick Reply

Related discussions

Latest

Trending

Trending

Articles for you