Question

Compare the following pairs of surd 5✓5 ,7✓2​

Answer 1

$5 \sqrt{5} \: , \: 7 \sqrt{2} \\ 5 \sqrt{5} = \sqrt{25 \times 2} = \sqrt{125}........(1) \\ 7 \sqrt{2} = \sqrt{49 \times 2} = \sqrt{98} .........(2) \\ from \: (1) \: and \: (2) \\ \sqrt{125} > \sqrt{98} \\</p><p></p><p>∴</p><p> 5 \sqrt{5} > 7 \sqrt{2}$