Question

Express as rational denominator 5 root 3 upon root 5

Answer 1

=$\frac{5 \sqrt{3} }{ \sqrt{5} } \\= \frac{5 \sqrt{3} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ =\frac{5 \sqrt{15} }{5} \\ =\sqrt{15}$
since $\sqrt{15}$ is irrational

Answer 2

$hi..$

We have to express 5√3 / √5 as a rational number .

$\frac{5 \sqrt{3} }{ \sqrt{5} }$

$= \frac{5 \sqrt{3} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} }$

$= \frac{5 \sqrt{3} \times \sqrt{5} }{ \sqrt{5} \times \sqrt{5} }$

$= \frac{5 \sqrt{15} }{5}$

$= \frac{5 \times \sqrt{15} }{5}$

$= \sqrt{15}$
Hence Expressed .

$hope \: \: \: this \: \: \: helps..$