rationalize1. ³√22. ³√3x3. √2b
Answer (1)
Answer:To rationalize the expressions, we aim to eliminate any radicals in the denominators. Here’s how you can rationalize each of the given expressions:1. ³√2: The cube root of 2 (³√2) is already in its simplest form. There's no need to rationalize it since it doesn't have a denominator.2. ³√3x: Similar to the above, the cube root of 3x (³√3x) is already in its simplest form. No rationalization is needed here either.3. √2b: The expression √2b is a square root expression. If the goal is to eliminate the square root from the denominator, it needs to be in a fraction form. For instance: If you had an expression like 1/√2b, you would multiply the numerator and denominator by √2b to rationalize the denominator: \[ \frac{1}{\sqrt{2b}} \times \frac{\sqrt{2b}}{\sqrt{2b}} = \frac{\sqrt{2b}}{2b} \] However, if √2b is already in the numerator, it's in its simplest form.Step-by-step explanation:
