Question

ello❤️
plz answer Q. 2 and 3... it's urgent plz❤️
​

Answer 1

Answer:

$i) \: \: \bold{\blue{\frac{1}{ \sqrt{5} + \sqrt{2} }}} \\\bold{\blue{= \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{ \sqrt{5} - \sqrt{2} }{ \sqrt{?} - \sqrt{2} }}} \\ \bold{\blue{= \frac{ \sqrt{5} - \sqrt{2} }{5 - 2} }} \\ \bold{\blue{= \frac{ \sqrt{5} - \sqrt{2} }{3} }} \\ \\ \\ ii) \bold{\blue{\: \: \frac{1}{ \sqrt{7} - 2 }}} \\ \bold{\blue{= \frac{1}{ \sqrt{7} - 2 } \times \frac{ \sqrt{7} + 2 }{\sqrt{7} + 2}}} \\ \bold{\blue{ = \frac{\sqrt{7} + 2}{7 - 4}}} \\ \bold{\blue{ = \frac{\sqrt{7} + 2}{3}}}$

$3) \bold{\blue{=\frac{ ({x}^{3} - a {x}^{2} + 6x - a) }{(x - a)}}} \\ \bold{\blue{= (x - a)( {x}^{2} + 6) + 5a}} \\ \\ \bold{\blue{So, \: the \: remainder \: = 5a}}$