How can you write the expression with a rationalized denominator 3√2 / 3√6.

Solution:

Given, the expression is \(\frac{3\sqrt{2}}{3\sqrt{6}}\)

We have to write the expression with a rationalized denominator.

Cancelling the common terms,

\(\frac{3\sqrt{2}}{3\sqrt{6}}\) = \(\frac{\sqrt{2}}{\sqrt{6}}\)

Multiplying and dividing by √6,

\(\frac{\sqrt{2}}{\sqrt{6}}\) = \(\frac{\sqrt{2}}{\sqrt{6}}\times \frac{\sqrt{6}}{\sqrt{6}}\)

= \(\frac{\sqrt{12}}{6}\)

= \(\frac{2\sqrt{3}}{6}\)

= \(\frac{\sqrt{3}}{3}\)

Therefore, the expression with a rationalized denominator is √3 / 3

How can you write the expression with a rationalized denominator 3√2 / 3√6.

Summary:

The expression \(\frac{3\sqrt{2}}{3\sqrt{6}}\) with a rationalized denominator is √3 / 3.