To simplify the expression \(-\frac{7}{10} + \sqrt{2}\) with the goal of rationalizing the denominator, we focus on the terms separately. Here, \(-\frac{7}{10}\) is already in its simplest form, and \(\sqrt{2}\) is also already simple.
Since there are no fractions with a denominator in this expression that require rationalizing, we can directly combine the terms. However, without a specific operation (like addition or subtraction with a fraction), the expression is already simplified.
If you needed to express it as a single term, you would typically work toward a common denominator, but here, the expression combines two different types: a rational number and an irrational number.
Therefore, the expression \(-\frac{7}{10} + \sqrt{2}\) is already in its simplest form. There’s no further rationalization needed since there are no denominators to rationalize.
If you wish to combine them for a specific purpose or context, or if there’s a particular operation to perform, please clarify!