🎥 Video Solution:
📘 Rationalise:
\[ \frac{\sqrt{b^2}}{\sqrt{a^2 + \sqrt{b^2}} + a} \]
✏️ Solution:
\[ \sqrt{b^2} = b \]
\[ = \frac{b}{\sqrt{a^2 + b} + a} \]
\[ \times \frac{\sqrt{a^2 + b} – a}{\sqrt{a^2 + b} – a} \]
\[ = \frac{b(\sqrt{a^2 + b} – a)}{(a^2 + b) – a^2} \]
\[ = \frac{b(\sqrt{a^2 + b} – a)}{b} \]
\[ = \sqrt{a^2 + b} – a \]
✅ Final Answer: \(\sqrt{a^2 + b} – a\)