Surds problem

paulb203 · 2023-11-21 08:06:40

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 · 2023-11-21 08:52:59

paulb203 wrote:

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 · 2023-11-21 23:30:57

Ah, I see!

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

Math Is Fun Forum

#1 2023-11-21 08:06:40

Surds problem

#2 2023-11-21 08:52:59

Re: Surds problem

#3 2023-11-21 23:30:57

Re: Surds problem

Board footer