Question

the greater between 10/√5 and 14/√7 is ? ​

Answer 1

11- √6 is greater that √17- √12. From (i) and (ii), we can come to a conclusion that from the given two equations, √11- √6 is the greatest value..

This is an example..

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Answer 2

Answer:

$\frac{10}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} }$

$\frac{10 \sqrt{5} }{5}$

$2 \sqrt{5}$

and

$\frac{14}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }$

$\frac{14 \sqrt{7} }{7}$

$2 \sqrt{7}$

There fore....

$2 \sqrt{5} < 2 \sqrt{7}$