Question

compare the following pair of surds 5 root 5 7 root 2​

Answer 1

$\huge\bold{Answer}$

$\bold{compare \: the \: following \: pair \: of \: surds \: 5 \sqrt{5},7 \sqrt{2} }$

$\bold{since, \: 5 \sqrt{5 \: } \: = \sqrt{25 \times 5} = \sqrt{125} \: and \: }$

$\bold{7 \sqrt{2} = \sqrt{49 \times 2} \: = \sqrt{98} }$

$</h2><h2>\bold{so, \: 5 \sqrt{5} > 7 \sqrt{2} }$