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marusya05 [52]
3 years ago
6

What is the simplified form of the expression? √32.√24​

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
BEAUTIFUL QUESTION whoever this is
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At least 1/16 times
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Complete the table by converting each decimal to a fraction.
AlekseyPX

if you've read those links already, you'd know what we're doing here.

we'll move the repeating part to the left-side of the dot, by multiplying by "1" and as many zeros as needed, or 10 at some power pretty much.

on 0.13 we need 100 to get 13.13.... and on 0.1234, we need 10000 to get 1234.1234....


\bf 0.\overline{13}~\hspace{10em}x=0.\overline{13}
\\\\[-0.35em]
~\dotfill\\\\
\begin{array}{|lll|ll}
\cline{1-3}
&&\\
100\cdot 0.\overline{13}& = & 13.\overline{13}\\
100\cdot x&& 13 + 0.\overline{13}\\
100x&&13+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
100x=13+x\implies 99x=13
\\\\
x=\cfrac{13}{99}
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
0.\overline{1234}~\hspace{10em}x=0.\overline{1234}
\\\\[-0.35em]
~\dotfill


\bf \begin{array}{|ccc|ll}
\cline{1-3}
&&\\
10000\cdot 0.\overline{1234}&=&1234.\overline{1234}\\
10000\cdot x&=&1234+0.\overline{1234}\\
10000x&=&1234+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
10000x=1234+x
\\\\
9999x=1234\implies x=\cfrac{1234}{9999}
\end{array}

7 0
3 years ago
Read 2 more answers
What is the answer for all these numbers
Leya [2.2K]
3=12
4=13
5=14
6=15
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Answer:

3.2x=24

x=24*3.2

x=7.5

Step-by-step explanation:

6 0
3 years ago
Which number is rational?
irina [24]
D
hope this helps
this is because the .3 is repeating but it is the same number repeating(it is a pattern)
3 0
4 years ago
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