kerjakan dengan benar.... Question from @pottahpottah424

August 2022 2 12 Report

kerjakan dengan benar

JΟY

Jika ${\sf{m=8}}$ dan ${\sf{n=2\sqrt{\sf5}+3}}$ , maka nilai ${\sf{{m}\div{n}={\boldsymbol{\dfrac{\textsf{\textbf{16}}\sqrt{\textsf{\textbf{5}}}-\textsf{\textbf{24}}}{\textsf{\textbf{11}}}}}}}$

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$\begin{aligned}{\sf{m=8}}\\{\sf{n=2}}&{\sf{\sqrt{\sf5}+3}}\\{\sf{m\div n}}&={\sf{\frac{8}{2\sqrt{\sf5}+3}}}\\&={\sf{\frac{8}{2\sqrt{\sf5}+3}\times\frac{2\sqrt{\sf5}-3}{2\sqrt{\sf5}-3}}}\\&={\sf{\frac{8(2\sqrt{\sf5}-3)}{(2\sqrt{\sf5}+3)(2\sqrt{\sf5}-3)}}}\\&={\sf{\frac{8(2\sqrt{\sf5}-3)}{20-9}}}\\&={\sf{\frac{16\sqrt{\sf5}-24}{11}}}\end{aligned}$

0 votes Thanks 1

pottahpottah424 kenapa tidak ada dipilihanya ya kak jawabannya

JΟY Pilihannya apa aja?

BNP999

Penjelasan dengan langkah-langkah:

m = 8 , n = 2√5 + 3

= m : n

= 8 / (2√5 + 3)

= 8/(2√5 + 3). (2√5 - 3)/(2√5 - 3)

= 8(2√5 - 3)/((2√5)² - 3²))

= 8(2√5 - 3)/(20-9)

= 8(2√5 - 3)/11

= (16√5 - 24)/11 no opsi

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