Merasionalkan akar pangkat dari √3/3√3+√2

By Admin ReiPosted on December 8, 2022

Merasionalkan akar pangkat dari √3/3√3+√2

$frac{ sqrt{3} }{3 sqrt{3} + sqrt{2} } \ = frac{ sqrt{3}(3 sqrt{3} - sqrt{2}) }{(3 sqrt{3} + sqrt{2} )(3 sqrt{3} - sqrt{2}) } \ = frac{3 times 3 - sqrt{6} }{9 times 3 - 2} = frac{9 - sqrt{6} }{27 - 2} = frac{9 - sqrt{6} }{25}$