Rasionalkan penyebur pecahan dari3-√2/3+√2

Rasionalkan penyebur pecahan dari3-√2/3+√2

Jawaban Terkonfirmasi

$frac{3- sqrt{2} }{3 + sqrt{2} }= frac{(3- sqrt{2})(3 - sqrt{2} )}{(3 + sqrt{2})(3- sqrt{2} )}$
⇒ $frac{(3 - sqrt{2})^{2} } {3^{2} - sqrt{2}^{2} } = frac{9 - 6 sqrt{2} + 2 }{9 - 2}$
⇒ $frac{11 + 6 sqrt{2} }{7}$