Math Is Fun Forum

paulb203

Member

Registered: 2023-02-24

Posts: 136

Surds problem

Show that;

(8+sqrt12) / (5+sqrt3) can be written in the form (a+sqrt3) / b

I tried rationalizing the denominator by multiplying the numerator and the denominator by 5-sqrt3 but could only get as far as (34+2sqrt3)/22

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Surds problem

Show that (8+sqrt12) / (5+sqrt3) can be written in the form (a+sqrt3) / b

I tried rationalizing the denominator by multiplying the numerator and the denominator by 5-sqrt3 but could only get as far as (34+2sqrt3)/22

youre almost there!

all you left off was to factor 2s out and cancel off

paulb203

Member

Registered: 2023-02-24

Posts: 136

Re: Surds problem

Ah, I see!

Thanks a lot. That's another one that was puzzling me for days.