To determine whether multiplying by the conjugate is the correct step, could you clarify the specific problem you're solving? Multiplying by the conjugate is commonly used in problems involving:

1. Rationalizing a denominator or numerator: For example, simplifying $\frac{1}{\sqrt{2} + 1}$ by multiplying by the conjugate $\sqrt{2} - 1$.
2. Simplifying expressions with square roots: To remove square roots from denominators or numerators.
3. Complex numbers: To simplify expressions like $\frac{1}{3 + 2i}$, where $3 - 2i$ is the conjugate.

If you're working with a square root or complex number, multiplying by the conjugate might be the right move. If you provide more context or the full equation, I can guide you more accurately!

Would you like to upload an image of your work or describe it further?

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Related Questions

1. What is a conjugate, and how is it used in algebra?
2. How do you rationalize a denominator using conjugates?
3. What is the geometric significance of multiplying complex numbers by their conjugates?
4. How does multiplying by the conjugate preserve equality in an equation?
5. Can the conjugate method be applied to solve polynomial equations?

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Tip

Always ensure you multiply both numerator and denominator (or both sides of an equation) when using the conjugate, to maintain equality.