The value of the expression 3 root of 3 divided by 3 root of 2x is [tex]\frac{\sqrt {6x}}{2x}[/tex]
We have:
3 root of 3 divided by 3 root of 2x
Rewrite properly as:
[tex]\frac{3\sqrt {3}}{3\sqrt {2x}}[/tex]
Divide 3 by 3
[tex]\frac{\sqrt {3}}{\sqrt {2x}}[/tex]
Rationalize
[tex]\frac{\sqrt {3}}{\sqrt {2x}} * \frac{\sqrt {2x}}{\sqrt {2x}}[/tex]
Evaluate the product
[tex]\frac{\sqrt {6x}}{2x}[/tex]
Hence, the value of the expression 3 root of 3 divided by 3 root of 2x is [tex]\frac{\sqrt {6x}}{2x}[/tex]
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