Math Is Fun Forum

paulb203

Member

Registered: 2023-02-24

Posts: 136

Fractions involving a square root

Are the following two expressions equivalent;

(5+√5)/(5) and 1+(√5)/(5) ?

I've got to the end of a long surds problem and have to give the answer in the form a+(√5)/(b).

I got as far as (5+√5)/(5), then I'm not sure

P.s.

The problem was;

(√180-2√5) / (5√5 - 5)

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 164

Re: Fractions involving a square root

You did very well
a+(√5)/(b) = (5+√5)/(5) = 5/5+(√5)/(5) = 1+(√5)/(5)