tolong bantu ya kak...... Question from @felyc7

Rasionalkan penyebut dari bentuk akar:

$\begin{aligned}\sf a. \: \: \frac{ \sqrt{20} \times \sqrt{48} }{2 \sqrt{8} } &=\sf \frac{ \sqrt{20 \times 48} }{2 \sqrt{4 \times 2} } \\ \sf &=\sf \frac{ \sqrt{960} }{2.2 \sqrt{2} } \\ \sf &= \sf \frac{ \sqrt{480} }{4} \\ \sf &=\sf \frac{ \sqrt{16 \times 30}}{4} \\ \sf &= \sf \frac{ \cancel{4} \sqrt{30} }{ \cancel{4}} \\ \sf &=\sf \small\boxed{ \sqrt{30}} \end{aligned}$

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$\begin{aligned}\sf b. \: \: \frac{20}{ \sqrt{5} - 3} &=\sf \frac{20}{ \sqrt{5} - 3} \times \frac{ \sqrt{5} + 3}{ \sqrt{5} + 3 } \\ \sf &=\sf \frac{20( \sqrt{5} + 3) }{( \sqrt{5} - 3)( \sqrt{5} + 3)} \\ \sf &= \sf \frac{20 (\sqrt{5} + 3)}{5 - 9} \\ \sf &=\sf \frac{20( \sqrt{5} + 3)}{ - 4} \\ \sf &= \sf - 5( \sqrt{5} + 3)\\ \sf &=\sf \small\boxed{ \sf -5 \sqrt{5} - 15}\end{aligned}$

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⚜ Mapel: Matematika

⚜ Kelas: 10

⚜ Bab: Bentuk Akar

⚜ Kode Kategorisasi: 10.2.2.1

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felyc7 makasii kak

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