Question

Ce fel de numar este a?
a=$\frac{36}{4 \sqrt{3}-3 \sqrt{2} } - \frac{2}{4 \sqrt{2}-3 \sqrt{3} } - \frac{8}{2 \sqrt{3}- \sqrt{2} } - \frac{16 \sqrt{2} }{3}$

Answer 1

rationalizam numitorii

a=36(4√3+3√2)/ (48-18)  - 2(4√2 +3√3)/(32-27)  -8 (2√3 +√2)/ (12-2) -16√2/3

a= (144√3+108√2)/ 30 - (8√2+6√3)/5  -(16√3 +8√2)/10 -16√2/3   aducem la acelasi numitor

a= 144√3 +108√2 - 48√2 -36√3 - 48√3 - 24√2 - 160√2

a= 144√3 -84√3 + 108√2 -232√2

a=60√3 -124√2    

a este un numar rational