Question

simplify: 4 divided by the square root of 24x

Answer 1

\[4\div \sqrt{24x} = 1 \] divide both sides by 4
\[\sqrt{24x} = \frac{ 1 }{ 4 }\] square both sides
\[24x = \frac{ 1 }{ 16 }\] divide both sides by 24
\[x = \frac{ 1 }{ 384 }\]

You can't really do anything unless it is equal to something so I put in a 1
If it is not equal to anything the simplification would be\[\sqrt{\frac{ 2 }{ 3 }}\div \sqrt{x}\]