Question

identify √49/147 is rational or irrational​

Answer 1

first of all
$\sqrt{ \frac{49}{147} }$

is an irrational number because
$49 = 7 \times 7\: \: \: and \: \: 147 = 7 \times 23 \: \: then$
put values
$= \sqrt{ \frac{7 \times 7}{7 \times 23} } \\ = \sqrt{ \frac{7}{23} } \\ = \sqrt{ \frac{1}{3} }$
$\sqrt{ \frac{1}{3} } is \: an \: irational \: number \: then \: root \: of \: it \: is \: always \: bea \: irrational \: number.$

hope it's help