Question

RATIONALISE:a-b÷a√b-b√a

Answer 1

To Rationalize:-

$\frac{a - b}{a \sqrt{b} - b \sqrt{a} }$

Solution:-

$\frac{a - b}{a \sqrt{b} - b \sqrt{a} } \times \frac{a \sqrt{b} + b \sqrt{a} }{a \sqrt{b} + b \sqrt{a} } \\ \frac{(a - b)(a \sqrt{b} + b \sqrt{a}) }{(a \sqrt{b}) ^{2} - (b \sqrt{a}) ^{2} } \\ \frac{{a}^{2} \sqrt{b} + ab - ab + {b}^{2} \sqrt{a} }{ {a}^{2} b - {b}^{2} a} \\ \frac{ {a}^{2} \sqrt{b} + {b}^{2} \sqrt{a} }{ {a}^{2} - {b}^{2} }$