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First, factor both the numerator and the denominator: - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

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- 6b = 0
6b = 48
Thus, the value of $ b $ is $\boxed{8}$.
Question: A science educator designs a learning module where a student...
Solution: To rationalize the denominator of $ \frac{3x + 4}{\sqrt{x} -...
\frac{3x + 4}{\sqrt{x} - 2} \cdot \frac{\sqrt{x} + 2}{\sqrt{x} + 2} =...
= \frac{(3x + 4)(\sqrt{x} + 2)}{x - 4}
Thus, the rationalized form is:
\frac{3x\sqrt{x} + 6x + 4\sqrt{x} + 8}{x - 4}
The simplified rationalized expression is $\boxed{\frac{3x\sqrt{x} + 6...

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