Bentuk dari [tex] \frac{x^{-1} - y^{-1} }{x^ \frac{1}{2} + y^ \frac{1}{2} } [/tex] dapat dibuat akar menjadi... (pakai cara ya)

Mapel : Matematika
Kelas : IX SMP
Materi : Bentuk akar

Pembahasan :
(x¯¹ - y¯¹)/(√x + √y)
= (1/x - 1/y)/(√x + √y)
= [(y - x)/(xy)]/(√x + √y)
= (y - x)/[xy√x + xy√y]
= (y - x)/(xy√x + xy√y) . (xy√x - xy√y)/(xy√x - xy√y)
= [(y - x)(xy√x - xy√y)]/[x³y² - x²y³]
= [(y - x)(xy√x - xy√y)]/[xy(x²y - xy²)]
= [(y - x)(√x - √y)]/[xy(x - y)]
= - [(x - y)(√x - √y)]/[xy(x - y)]
= - (√x - √y)/xy

jawaban ada dilampiran