Math, asked by kumarmantun899, 9 months ago

MATH
prove that please answer me​

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Answered by neerushukla256
1

Answer:

Step-by-step explanation:

Let √3 is rational.

So,we can write in the form of p/q where p and q are co-prime numbers.

  √3 = p/q

  By squaring both sides,

we get ,

   (√3)²= (p/q)²

      3 = p²/q²

    By cross multiplying method,

          3q²=p² .......................(1)

So , we can write q=3r

From Equation (1)

          we get ,

         3 is the factor of p²

         then, 3 is also factor of p.

IN EQUATION (1)

Put q=3r

3q²=p²

3(3r)²=p²

3(9r²)=p²

27r2\

Answered by keshavmpsjaipur
0

Answer:

hopes it helpes you mark the as brainliest

Step-by-step explanation:

Let √3 is rational.

So,we can write in the form of p/q where p and q are co-prime numbers.

 √3 = p/q

 By squaring both sides,

we get ,

  (√3)²= (p/q)²

     3 = p²/q²

   By cross multiplying method,

         3q²=p² .......................(1)

So , we can write q=3r

From Equation (1)

         we get ,

        3 is the factor of p²

        then, 3 is also factor of p.

IN EQUATION (1)

Put q=3r

3q²=p²

3(3r)²=p²

3(9r²)=p²

27r2\

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