Math, asked by legendaryflyer, 1 year ago

identify √49/147 is rational or irrational​

Answers

Answered by mitajoshi11051976
13
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
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