Question

√9 over √75

Answer 1

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Answer 2

\[\sqrt{3}/5\]

Answer 3

\[\sqrt{9} = 3\]
\[\sqrt{75} = \sqrt{25\times 3} = 5\sqrt{3}\]
therefore \[3/5\sqrt{3}\]
multiply top and bottom by \[\sqrt{3}\]
so we have \[3\sqrt{3}/5\sqrt{3}\sqrt{3}\]
\[= 3\sqrt{3}/5 \times 3\]
\[= \sqrt{3}/5\]