1. xy / √x + √y 2. 2a / 3√a 3. 4-√2 / 4+√2 merci✌️.... Question from @karyndinda

August 2018 2 66 Report

1. xy / √x + √y
2. 2a / 3√a
3. 4-√2 / 4+√2

merci✌️

Abil99 Ini tinggal di rasionalkan aja kan??

0 votes Thanks 1

acim $1) \frac{xy}{ \sqrt{x}+ \sqrt{y}} \\ = \frac{xy}{ \sqrt{x}+ \sqrt{y}}.\frac{ \sqrt{x}- \sqrt{y}}{ \sqrt{x}- \sqrt{y}}\\ = \frac{xy(\sqrt{x}-\sqrt{y})}{x-y}$

$2) \frac{2a}{ 3\sqrt{a}} \\ = \frac{2a}{ 3\sqrt{a}}. \frac{ \sqrt{a}}{ \sqrt{a}} \\ = \frac{2a \sqrt{a} }{3a} \\ = \frac{2}{3} \sqrt{a}$

$\frac{4- \sqrt{2}}{4+ \sqrt{2}} \\ = \frac{4- \sqrt{2}}{4+ \sqrt{2}}. \frac{4- \sqrt{2}}{4- \sqrt{2}} \\ = \frac{16-8 \sqrt{2}+2}{16-2} \\ = \frac{18-8 \sqrt{2} }{14} \\ = \frac{9-4 \sqrt{2} }{7}$

0 votes Thanks 3

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