Question

write the rationalize factor of
$\frac{1}{ \sqrt{7 - \sqrt{4} } }$
​

Answer 1

$\tt \huge\leadsto \frac{1}{ \sqrt{7} - \sqrt{4} }$

$\tt\huge \leadsto \frac{1}{ \sqrt{7} - \sqrt{4} } \times \frac{ \sqrt{7} + \sqrt{4} }{ \sqrt{7} + \sqrt{4} }$

$\tt \huge\leadsto \frac{ \sqrt{7} + \sqrt{4} }{ { (\sqrt{7)^{2}} - (\sqrt{4)^{2} } } }$

$\tt \huge\leadsto \frac{ \sqrt{7} + \sqrt{4} }{ \sqrt{49} - \sqrt{16} }$

$\tt\huge \leadsto \frac{ \sqrt{7} + \sqrt{4} }{7 - 4}$

$\tt \huge\pmb{{\leadsto \frac{ \sqrt{7} + \sqrt{4} }{3}}}$