MATH
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Answers
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\
Answer:
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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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