1. 2. tolong bantuan cara penyelesaikan.... Question from @dodymahaputra

October 2018 2 11 Report

1. $\sqrt{ \frac{1}{64}- \frac{1}{100} } = ....$
2. $\frac{24!-21!}{20!} = ....$
tolong bantuan cara penyelesaikan

ydhh 1
$\sqrt{\frac{1}{64}-\frac{1}{100}}=\sqrt{\frac{100}{6400}-\frac{64}{6400}} \\ =\sqrt{\frac{36}{6400}} \\ =\frac{6}{80}=\frac{3}{40}$

2
$\frac{24!-21!}{20!}=\frac{24\cdot 23\cdot 22\cdot 21!-21!}{20!} \\ =\frac{(24\cdot 23\cdot 22-1)21!}{20!} \\ =\frac{(12.143)\cdot 21\cdot 20!}{20!} \\ =12.143\cdot 21=255.003$

1 votes Thanks 1

dodymahaputra belum ngerti dengan yang nomor 2.. tolong diperjelas mas

ydhh hmm

ydhh misal 24! itu kan sama aja kayak 24 x 23 x 22 x 21! misalkan 21! itu z maka 24!=24 x 23 x 22 x z sehingga 24!-21!=24 x 23 x 22 x z - z= (24 x 23 x 22 - 1) x z

ImmanuelSinaga $\{1\}~~~\sqrt{\displaystyle\frac{1}{64}~-~\frac{1}{100}}~=~\sqrt{\displaystyle(\frac{1}{8})^2~-~(\frac{1}{10})^2}~=~\sqrt{\displaystyle(\frac{1}{8}~+~\frac{1}{10})(\frac{1}{8}~-~\frac{1}{10})} \\ \\ \\ ~~~~~~~~~=\sqrt{\displaystyle\frac{9}{40}~\times~\frac{1}{40}}~=~\sqrt{\displaystyle\frac{9}{1600}}~=~\displaystyle\frac{3}{40}$

$\{2\}~~~~\displaystyle\frac{24!~-~21!}{20!}~~=~~\frac{24~\times~23~\times~22~\times~21~\times~\not{20!}~-~21~\times~\not{20!}}{\not{20!}} \\ \\ ~~~~~~~~~~~~~~~~~~~~~~~~~=~~24~\times~23~\times~22~\times~21~-~21 \\ \\ ~~~~~~~~~~~~~~~~~~~~~~~~~=~~\bold{255.003}$

0 votes Thanks 0

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