Rationalizing an expression removes the radicand from the denominator of the expression
To rationalize [tex]\frac{3}{3\sqrt{2x}}[/tex] , multiply the numerator and the denominator by [tex]\sqrt{2x}[/tex]
The expression is given as:
[tex]\frac{3}{3\sqrt{2x}}[/tex]
To rationalize, we multiply the numerator and the denominator of [tex]\frac{3}{3\sqrt{2x}}[/tex] by [tex]\sqrt{2x}[/tex]
So, we have:
[tex]\frac{3}{3\sqrt{2x}} = \frac{3}{3\sqrt{2x}} \times \frac{\sqrt{2x}}{\sqrt{2x}}[/tex]
Multiply
[tex]\frac{3}{3\sqrt{2x}} = \frac{3\sqrt{2x}}{3\times {2x}}[/tex]
Simplify the denominator
[tex]\frac{3}{3\sqrt{2x}} = \frac{3\sqrt{2x}}{6x}[/tex]
Hence, the equivalent expression of [tex]\frac{3}{3\sqrt{2x}}[/tex] is [tex]\frac{3\sqrt{2x}}{6x}[/tex]
Read more about rationalizing expressions at:
https://brainly.in/question/4416771
