Rationalise the denominator of the following expression. That is, find an equivalent expression that does not have a square root in the denominator.55‾√=

To rationalize the denominator of the expression $\sqrt{55}$, we can rewrite it in a different form where the square root is not in the denominator. However, since the expression provided appears to be just $\sqrt{55}$ without a denominator, I'll assume you might be asking to express $\frac{1}{\sqrt{55}}$ in an equivalent form with a rationalized denominator.

1. Break Down the Problem

We need to rationalize the denominator of the expression $\frac{1}{\sqrt{55}}$.

2. Relevant Concepts

To rationalize the denominator, we multiply both the numerator and the denominator by the square root present in the denominator.

3. Analysis and Detail

We proceed as follows:

• Multiply the numerator and denominator by $\sqrt{55}$:

$\frac{1}{\sqrt{55}} \times \frac{\sqrt{55}}{\sqrt{55}} = \frac{\sqrt{55}}{55}$

4. Verify and Summarize

The new expression $\frac{\sqrt{55}}{55}$ has a rational denominator. Therefore, each step of the calculation is valid.

Final Answer

The rationalized form of $\frac{1}{\sqrt{55}}$ is $\frac{\sqrt{55}}{55}$.