Rationalise 1/√12 🎥 Video Solution: 📘 Rationalise: \[ \frac{1}{\sqrt{12}} \] ✏️ Solution: \[ = \frac{1}{\sqrt{12}} \times \frac{\sqrt{12}}{\sqrt{12}} \] \[ = \frac{\sqrt{12}}{12} \] \[ = \frac{2\sqrt{3}}{12} \] \[ = \frac{\sqrt{3}}{6} \] ✅ Final Answer: \(\frac{\sqrt{3}}{6}\) Next Question / Full Exercise
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Rationalise 3/(2√5) 🎥 Video Solution: 📘 Rationalise: \[ \frac{3}{2\sqrt{5}} \] ✏️ Solution: \[ = \frac{3}{2\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} \] \[ = \frac{3\sqrt{5}}{2 \times 5} \] \[ = \frac{3\sqrt{5}}{10} \] ✅ Final Answer: \(\frac{3\sqrt{5}}{10}\) Next Question / Full Exercise
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Rationalise 3/√5 🎥 Video Solution: 📘 Rationalise: \[ \frac{3}{\sqrt{5}} \] ✏️ Solution: \[ = \frac{3}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} \] \[ = \frac{3\sqrt{5}}{5} \] ✅ Final Answer: \(\frac{3\sqrt{5}}{5}\) Next Question / Full Exercise
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Simplify (2√5 + 3√2)² 🎥 Video Solution: 📘 Simplify: \[ (2\sqrt{5} + 3\sqrt{2})^2 \] ✏️ Solution: \[ = 20 + 18 + 12\sqrt{10} \] \[ = 38 + 12\sqrt{10} \] ✅ Final Answer: \(38 + 12\sqrt{10}\) Next Question / Full Exercise
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Simplify (√5 − √3)² 🎥 Video Solution: 📘 Simplify: \[ (\sqrt{5} – \sqrt{3})^2 \] ✏️ Solution: \[ = 5 + 3 – 2\sqrt{15} \] \[ = 8 – 2\sqrt{15} \] ✅ Final Answer: \(8 – 2\sqrt{15}\) Next Question / Full Exercise
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Simplify (√3 + √7)² 🎥 Video Solution: 📘 Simplify: \[ (\sqrt{3} + \sqrt{7})^2 \] ✏️ Solution: \[ = 3 + 7 + 2\sqrt{21} \] \[ = 10 + 2\sqrt{21} \] ✅ Final Answer: \(10 + 2\sqrt{21}\) Next Question / Full Exercise
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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: \(30 – 11\sqrt{10}\) Next Question /
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Simplify (√5 − √2)(√5 + √2) 🎥 Video Solution: 📘 Simplify: \[ (\sqrt{5} – \sqrt{2})(\sqrt{5} + \sqrt{2}) \] ✏️ Solution: \[ = (\sqrt{5})^2 – (\sqrt{2})^2 \] \[ = 5 – 2 \] \[ = 3 \] ✅ Final Answer: \(3\) Next Question / Full Exercise
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Simplify (3 + √3)(3 − √3) 🎥 Video Solution: 📘 Simplify: \[ (3 + \sqrt{3})(3 – \sqrt{3}) \] ✏️ Solution: \[ = 3^2 – (\sqrt{3})^2 \] \[ = 9 – 3 \] \[ = 6 \] ✅ Final Answer: \(6\) Next Question / Full Exercise
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Simplify (√8 − √2)(√8 + √2) 🎥 Video Solution: 📘 Simplify: \[ (\sqrt{8} – \sqrt{2})(\sqrt{8} + \sqrt{2}) \] ✏️ Solution: \[ = (\sqrt{8})^2 – (\sqrt{2})^2 \] \[ = 8 – 2 \] \[ = 6 \] ✅ Final Answer: \(6\) Next Question / Full Exercise
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