Math, asked by priyanshiag32005, 8 months ago

root 13/117..is it rational, how? ​

Answers

Answered by dsk75
8

Answer:

yes, it is rational.

because, √(13/117) is 1/3

and 1/3 is rational

because rational number means expressing in p/q form (q≠0)

Answered by pulakmath007
0

√(13/117) is a rational number as √(13/117) can be written in the form p/q where p & q are integers with q ≠ 0

Correct question : √(13/117) is it rational, how?

Given :

\displaystyle \sf   \: number \:  \:   \sqrt{ \frac{13}{117} }

To find :

The reason for the number is rational

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is

\displaystyle \sf  \sqrt{ \frac{13}{117} }

Step 2 of 2 :

Find the reason for the number is rational

\displaystyle \sf  \sqrt{ \frac{13}{117} }

\displaystyle \sf   =  \sqrt{ \frac{1}{9} }

\displaystyle \sf   =  \frac{1}{3}

Which can be written in the form p/q where p = 1 & q = 3

Since √(13/117) can be written in the form p/q where p & q are integers with q ≠ 0

Hence √(13/117) is a rational number

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