a = 5√(7) b = 7√(5) a^2 = 25*7 = 175 b^2 = 49*5 = 245 as, a^2 lt; b^2 Hence 7√(5) gt; 5√(7) ...

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Finding Square Root by Long Division Method

Compare: 5√...

Question

Compare: $5 \sqrt{7}$ and $7 \sqrt{5}$

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Solution

$a = 5 \sqrt{7}$
$b = 7 \sqrt{5}$
$a^{2} = 25 * 7 = 175$
$b^{2} = 49 * 5 = 245$
as, $a^{2} < b^{2}$
Hence $7 \sqrt{5}$ > $5 \sqrt{7}$

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