Question

Rationalize 5√7/√7+√2

Answer 1

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Answer 2

$\huge \boxed{ \text \color{pink}{hey \: mate}}$

$\frac{5 \sqrt{7} }{ \sqrt{7} + \sqrt{2} } \times \frac{ \sqrt{7 } - { \sqrt{2} } }{ \sqrt{7} - \sqrt{2} }$

$\frac{5 \sqrt{7}( \sqrt{7} - \sqrt{2}) }{( { \sqrt{7} }^{2} ) - ( { \sqrt{2} }^{2}) }$

$\frac{35 - 70}{7 - 2}$

$\frac{ - 35}{5}$

$\huge \boxed{ \text \color{green}{ - 7}}$