Educational

Rationalise 1/(√6 − √5) 🎥 Video Solution: 📘 Rationalise: \[ \frac{1}{\sqrt{6} – \sqrt{5}} \] ✏️ Solution: \[ = \frac{1}{\sqrt{6} – \sqrt{5}} \times \frac{\sqrt{6} + \sqrt{5}}{\sqrt{6} + \sqrt{5}} \] \[ = \frac{\sqrt{6} + \sqrt{5}}{6 – 5} \] \[ = \sqrt{6} + \sqrt{5} \] ✅ Final Answer: \(\sqrt{6} + \sqrt{5}\) Next Question / Full Exercise

Rationalise √6/(√2 + √3) 🎥 Video Solution: 📘 Rationalise: \[ \frac{\sqrt{6}}{\sqrt{2} + \sqrt{3}} \] ✏️ Solution: \[ = \frac{\sqrt{6}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} – \sqrt{3}}{\sqrt{2} – \sqrt{3}} \] \[ = \frac{\sqrt{6}(\sqrt{2} – \sqrt{3})}{2 – 3} \] \[ = \frac{\sqrt{12} – \sqrt{18}}{-1} \] \[ = \frac{2\sqrt{3} – 3\sqrt{2}}{-1} \] \[ = 3\sqrt{2} – 2\sqrt{3} \] ✅

Find value of surds expressions 🎥 Video Solution: 📘 Find the values: 1. \[ \frac{2 + \sqrt{3}}{3} \] \[ = \frac{2 + 1.732}{3} \] \[ = \frac{3.732}{3} \] \[ = 1.244 \] ✅ Answer: \(1.244\) 2. \[ \frac{\sqrt{2} – 1}{\sqrt{5}} \] \[ = \frac{1.414 – 1}{2.236} \] \[ = \frac{0.414}{2.236} \] \[ \approx 0.185 \]

Find value of (√10 + √15)/√2 🎥 Video Solution: 📘 Find the value: \[ \frac{\sqrt{10} + \sqrt{15}}{\sqrt{2}} \] ✏️ Solution: \[ \sqrt{15} = \sqrt{3 \times 5} = 1.732 \times 2.236 \approx 3.873 \] \[ = \frac{3.162 + 3.873}{1.414} \] \[ = \frac{7.035}{1.414} \] \[ \approx 4.976 \] ✅ Final Answer: \(4.976\) (correct to 3 decimal

Find value of (√5 + 1)/√2 🎥 Video Solution: 📘 Find the value: \[ \frac{\sqrt{5} + 1}{\sqrt{2}} \] ✏️ Solution: \[ = \frac{2.236 + 1}{1.414} \] \[ = \frac{3.236}{1.414} \] \[ \approx 2.289 \] ✅ Final Answer: \(2.289\) (correct to 3 decimal places) Next Question / Full Exercise

Find value of 3/√10 🎥 Video Solution: 📘 Find the value: \[ \frac{3}{\sqrt{10}} \] ✏️ Solution: \[ = \frac{3}{\sqrt{10}} \times \frac{\sqrt{10}}{\sqrt{10}} \] \[ = \frac{3\sqrt{10}}{10} \] \[ = \frac{3 \times 3.162}{10} \] \[ = \frac{9.486}{10} \] \[ = 0.949 \] ✅ Final Answer: \(0.949\) (correct to 3 decimal places) Next Question / Full Exercise

Find value of 2/√3 🎥 Video Solution: 📘 Find the value: \[ \frac{2}{\sqrt{3}} \] ✏️ Solution: \[ = \frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} \] \[ = \frac{2\sqrt{3}}{3} \] \[ = \frac{2 \times 1.732}{3} \] \[ = \frac{3.464}{3} \] \[ = 1.155 \] ✅ Final Answer: \(1.155\) (correct to 3 decimal places) Next Question / Full Exercise

Rationalise Surds Expressions 🎥 Video Solution: 📘 Rationalise: 1. \[ \frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}} \] \[ = \frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} \] \[ = \frac{\sqrt{6} + \sqrt{15}}{3} \] ✅ Answer: \(\frac{\sqrt{6} + \sqrt{15}}{3}\) 2. \[ \frac{3\sqrt{2}}{\sqrt{5}} \] \[ = \frac{3\sqrt{2}}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} \] \[ = \frac{3\sqrt{10}}{5} \] ✅ Answer: \(\frac{3\sqrt{10}}{5}\) Next Question / Full Exercise

Rationalise (√3 + 1)/√2 🎥 Video Solution: 📘 Rationalise: \[ \frac{\sqrt{3} + 1}{\sqrt{2}} \] ✏️ Solution: \[ = \frac{\sqrt{3} + 1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} \] \[ = \frac{\sqrt{6} + \sqrt{2}}{2} \] ✅ Final Answer: \(\frac{\sqrt{6} + \sqrt{2}}{2}\) Next Question / Full Exercise

Rationalise √2/√5 🎥 Video Solution: 📘 Rationalise: \[ \frac{\sqrt{2}}{\sqrt{5}} \] ✏️ Solution: \[ = \frac{\sqrt{2}}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} \] \[ = \frac{\sqrt{10}}{5} \] ✅ Final Answer: \(\frac{\sqrt{10}}{5}\) Next Question / Full Exercise