Simplify (3√5 − 5√2)(4√5 + 3√2)

🎥 Video Solution:


📘 Simplify:

\[ (3\sqrt{5} – 5\sqrt{2})(4\sqrt{5} + 3\sqrt{2}) \]

✏️ Solution:

\[ = 12\cdot5 + 9\sqrt{10} – 20\sqrt{10} – 15\cdot2 \]

\[ = 60 + 9\sqrt{10} – 20\sqrt{10} – 30 \]

\[ = 30 – 11\sqrt{10} \]

✅ Final Answer: \(30 – 11\sqrt{10}\)

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