Question

Rasionalkan bentuk akar dibawah ini!

[tex] \frac{2 \sqrt{3} \times 3 \sqrt{2} }{12 \sqrt{5} } [/tex]

Pakai penjelasan dan caranya

Answer 1

Verified answer

[tex]\frac{2 \sqrt{3} \times 3 \sqrt{2}}{12 \sqrt{5}} = \frac{6 \sqrt{6}}{12 \sqrt{5}} [/tex]

• [tex]= \frac{6 \sqrt{6}}{12 \sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} [/tex]
• [tex]= \frac{6 \sqrt{30}}{12 \sqrt{25}} = \frac{6 \sqrt{30}}{12 \times 5} = \frac{6 \sqrt{30}}{60} = \frac{\sqrt{30}}{10} [/tex]

Answer 2

PEMBAHASAN

Aljabar

Merasionalkan Penyebut

√a × √b = √(a × b)

√a × √a = a

•

[tex] \begin{aligned} \frac{ 2 \sqrt{3} \: \times \: 3 \sqrt{2} }{ 12 \sqrt{5} }&= \frac{ \sqrt{3 \times 2} }{2 \sqrt{5} } \: \times \: \frac{ \sqrt{5} }{ \sqrt{5} } \\ \\ &= \frac{ \sqrt{6 \times 5} }{2 \times 5} \\ \\ &= \frac{ \sqrt{30} }{10} \end{aligned}[/tex]