Hasil dari 2 per 5 + √3 adalah? tolong dibantu, makasih.

2/5 + √3
2/5 + √3 *(5 - √3)/(5- √3)
2(5-√3)/ 25-3
= 2(5-√3)/22
= 5 - √3/11

Matematika
Akar dan Pangkat IX SMP

Soal : 
[tex] \frac{2}{5 + \sqrt{3} } = ... [/tex]

Jawab :
[tex] \frac{2}{5+ \sqrt{3} } . \frac{5-\sqrt{3}}{ 5- \sqrt{3}}\\= \frac{2(5-\sqrt{3})}{(5 + \sqrt{3})(5- \sqrt{3}) }\\= \frac{2(5 - \sqrt{3}) }{5^2 - 3}\\= \frac{2(5- \sqrt{3}) }{25-3}\\= \frac{2(5 - \sqrt{3}) }{22} \\= \frac{5- \sqrt{3} }{11} [/tex]