Question

√52÷√169=a√n then
a=? and n=?​

Answer 1

Step-by-step explanation:

$\frac{ \sqrt{52} }{ \sqrt{169} } = \frac{ \sqrt{13 \times 4} }{ \sqrt{13 \times 13}} = \frac{2 \times \sqrt{13} }{13} = \frac{2}{ \sqrt{13} }$

But,

$\frac{ \sqrt{52} }{ \sqrt{169} } = a \sqrt{n}$

comparing we get,

$a = 2 \\ \sqrt{n } = \frac{1}{ \sqrt{13} } \\ or \\ n = \frac{1}{13}$

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