Sederhanakn pecahan berikut 2/3√2-√3

Sederhanakn pecahan berikut 2/3√2-√3

Jawaban Terkonfirmasi

$$begin{align} frac{2}{3sqrt2-sqrt3}&=frac{2}{3sqrt2-sqrt3}timesfrac{3sqrt2+sqrt3}{3sqrt2+sqrt3}\&=frac{6sqrt2+2sqrt3}{15}\&=boxed{frac{2}{5}sqrt2+frac{2}{15}sqrt3} end{align}$

Jawaban Terkonfirmasi

$frac{2}{3 sqrt{2}- sqrt{3} }$ = $frac{2}{3 sqrt{2} - sqrt{3} } X frac{3 sqrt{2}+ sqrt{3} }{3 sqrt{2}+ sqrt{3}}$
= $frac{6 sqrt{2}+ 2 sqrt{3} }{15}$
= $frac{2}{5} sqrt{2} + frac{2}{15} sqrt{3}$