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Home » Watch This Big Bean Bag Change Your Room’s Vibe Forever! - Blask

Watch This Big Bean Bag Change Your Room’s Vibe Forever! - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question:** A nanotechnologist is analyzing the behavior of a nanoparticle where the resistance \( R \) is modeled by \( R = \frac{4}{\sqrt{x} + 2} \). Rationalize the denominator of the expression for \( R \).

📌 To rationalize the denominator, multiply the numerator and the denominator by the conjugate of the denominator:

📌 R = \frac{4}{\sqrt{x} + 2} \times \frac{\sqrt{x} - 2}{\sqrt{x} - 2}

📌 R = \frac{4(\sqrt{x} - 2)}{(\sqrt{x} + 2)(\sqrt{x} - 2)}

📌 The denominator simplifies using the difference of squares:

📌 R = \frac{4(\sqrt{x} - 2)}{x - 4}

📌 \boxed{\frac{4(\sqrt{x} - 2)}{x - 4}}

📌 Question:** A patent attorney is reviewing a patent that involves a formula where \( p+q=10 \) and \( p^2+q^2=58 \). Find \( p^3 + q^3 \).

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